The (3,2)-Mixed Refined Zigzag Theory for generally laminated beams: Theoretical development and C0 finite element formulation
A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributi...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Iurlaro, L. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015transfer abstract |
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| Umfang: |
19 |
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| Übergeordnetes Werk: |
Enthalten in: One pot synthesis of poly(5-hydroxyl-1,4-naphthoquinone) stabilized gold nanoparticles using the monomer as the reducing agent for nonenzymatic electrochemical detection of glucose - Cooray, M.C. Dilusha ELSEVIER, 2015, New York, NY [u.a.] |
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| Übergeordnetes Werk: |
volume:73 ; year:2015 ; pages:1-19 ; extent:19 |
| Links: |
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| DOI / URN: |
10.1016/j.ijsolstr.2015.07.028 |
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ELV034956638 |
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| 245 | 1 | 4 | |a The (3,2)-Mixed Refined Zigzag Theory for generally laminated beams: Theoretical development and C0 finite element formulation |
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| 520 | |a A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. | ||
| 520 | |a A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. | ||
| 650 | 7 | |a Composite beam |2 Elsevier | |
| 650 | 7 | |a Mixed zigzag theory |2 Elsevier | |
| 650 | 7 | |a Higher-order zigzag model |2 Elsevier | |
| 650 | 7 | |a Sandwich beam |2 Elsevier | |
| 650 | 7 | |a Refined Zigzag Theory |2 Elsevier | |
| 700 | 1 | |a Gherlone, M. |4 oth | |
| 700 | 1 | |a Di Sciuva, M. |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier |a Cooray, M.C. Dilusha ELSEVIER |t One pot synthesis of poly(5-hydroxyl-1,4-naphthoquinone) stabilized gold nanoparticles using the monomer as the reducing agent for nonenzymatic electrochemical detection of glucose |d 2015 |g New York, NY [u.a.] |w (DE-627)ELV023913754 |
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10.1016/j.ijsolstr.2015.07.028 doi GBVA2015022000028.pica (DE-627)ELV034956638 (ELSEVIER)S0020-7683(15)00334-0 DE-627 ger DE-627 rakwb eng 530 530 DE-600 540 VZ 610 VZ 540 VZ 35.10 bkl Iurlaro, L. verfasserin aut The (3,2)-Mixed Refined Zigzag Theory for generally laminated beams: Theoretical development and C0 finite element formulation 2015transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. Composite beam Elsevier Mixed zigzag theory Elsevier Higher-order zigzag model Elsevier Sandwich beam Elsevier Refined Zigzag Theory Elsevier Gherlone, M. oth Di Sciuva, M. oth Enthalten in Elsevier Cooray, M.C. Dilusha ELSEVIER One pot synthesis of poly(5-hydroxyl-1,4-naphthoquinone) stabilized gold nanoparticles using the monomer as the reducing agent for nonenzymatic electrochemical detection of glucose 2015 New York, NY [u.a.] (DE-627)ELV023913754 volume:73 year:2015 pages:1-19 extent:19 https://doi.org/10.1016/j.ijsolstr.2015.07.028 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_70 35.10 Physikalische Chemie: Allgemeines VZ AR 73 2015 1-19 19 045F 530 |
| spelling |
10.1016/j.ijsolstr.2015.07.028 doi GBVA2015022000028.pica (DE-627)ELV034956638 (ELSEVIER)S0020-7683(15)00334-0 DE-627 ger DE-627 rakwb eng 530 530 DE-600 540 VZ 610 VZ 540 VZ 35.10 bkl Iurlaro, L. verfasserin aut The (3,2)-Mixed Refined Zigzag Theory for generally laminated beams: Theoretical development and C0 finite element formulation 2015transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. Composite beam Elsevier Mixed zigzag theory Elsevier Higher-order zigzag model Elsevier Sandwich beam Elsevier Refined Zigzag Theory Elsevier Gherlone, M. oth Di Sciuva, M. oth Enthalten in Elsevier Cooray, M.C. Dilusha ELSEVIER One pot synthesis of poly(5-hydroxyl-1,4-naphthoquinone) stabilized gold nanoparticles using the monomer as the reducing agent for nonenzymatic electrochemical detection of glucose 2015 New York, NY [u.a.] (DE-627)ELV023913754 volume:73 year:2015 pages:1-19 extent:19 https://doi.org/10.1016/j.ijsolstr.2015.07.028 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_70 35.10 Physikalische Chemie: Allgemeines VZ AR 73 2015 1-19 19 045F 530 |
| allfields_unstemmed |
10.1016/j.ijsolstr.2015.07.028 doi GBVA2015022000028.pica (DE-627)ELV034956638 (ELSEVIER)S0020-7683(15)00334-0 DE-627 ger DE-627 rakwb eng 530 530 DE-600 540 VZ 610 VZ 540 VZ 35.10 bkl Iurlaro, L. verfasserin aut The (3,2)-Mixed Refined Zigzag Theory for generally laminated beams: Theoretical development and C0 finite element formulation 2015transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. Composite beam Elsevier Mixed zigzag theory Elsevier Higher-order zigzag model Elsevier Sandwich beam Elsevier Refined Zigzag Theory Elsevier Gherlone, M. oth Di Sciuva, M. oth Enthalten in Elsevier Cooray, M.C. Dilusha ELSEVIER One pot synthesis of poly(5-hydroxyl-1,4-naphthoquinone) stabilized gold nanoparticles using the monomer as the reducing agent for nonenzymatic electrochemical detection of glucose 2015 New York, NY [u.a.] (DE-627)ELV023913754 volume:73 year:2015 pages:1-19 extent:19 https://doi.org/10.1016/j.ijsolstr.2015.07.028 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_70 35.10 Physikalische Chemie: Allgemeines VZ AR 73 2015 1-19 19 045F 530 |
| allfieldsGer |
10.1016/j.ijsolstr.2015.07.028 doi GBVA2015022000028.pica (DE-627)ELV034956638 (ELSEVIER)S0020-7683(15)00334-0 DE-627 ger DE-627 rakwb eng 530 530 DE-600 540 VZ 610 VZ 540 VZ 35.10 bkl Iurlaro, L. verfasserin aut The (3,2)-Mixed Refined Zigzag Theory for generally laminated beams: Theoretical development and C0 finite element formulation 2015transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. Composite beam Elsevier Mixed zigzag theory Elsevier Higher-order zigzag model Elsevier Sandwich beam Elsevier Refined Zigzag Theory Elsevier Gherlone, M. oth Di Sciuva, M. oth Enthalten in Elsevier Cooray, M.C. Dilusha ELSEVIER One pot synthesis of poly(5-hydroxyl-1,4-naphthoquinone) stabilized gold nanoparticles using the monomer as the reducing agent for nonenzymatic electrochemical detection of glucose 2015 New York, NY [u.a.] (DE-627)ELV023913754 volume:73 year:2015 pages:1-19 extent:19 https://doi.org/10.1016/j.ijsolstr.2015.07.028 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_70 35.10 Physikalische Chemie: Allgemeines VZ AR 73 2015 1-19 19 045F 530 |
| allfieldsSound |
10.1016/j.ijsolstr.2015.07.028 doi GBVA2015022000028.pica (DE-627)ELV034956638 (ELSEVIER)S0020-7683(15)00334-0 DE-627 ger DE-627 rakwb eng 530 530 DE-600 540 VZ 610 VZ 540 VZ 35.10 bkl Iurlaro, L. verfasserin aut The (3,2)-Mixed Refined Zigzag Theory for generally laminated beams: Theoretical development and C0 finite element formulation 2015transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. Composite beam Elsevier Mixed zigzag theory Elsevier Higher-order zigzag model Elsevier Sandwich beam Elsevier Refined Zigzag Theory Elsevier Gherlone, M. oth Di Sciuva, M. oth Enthalten in Elsevier Cooray, M.C. Dilusha ELSEVIER One pot synthesis of poly(5-hydroxyl-1,4-naphthoquinone) stabilized gold nanoparticles using the monomer as the reducing agent for nonenzymatic electrochemical detection of glucose 2015 New York, NY [u.a.] (DE-627)ELV023913754 volume:73 year:2015 pages:1-19 extent:19 https://doi.org/10.1016/j.ijsolstr.2015.07.028 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_70 35.10 Physikalische Chemie: Allgemeines VZ AR 73 2015 1-19 19 045F 530 |
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English |
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Enthalten in One pot synthesis of poly(5-hydroxyl-1,4-naphthoquinone) stabilized gold nanoparticles using the monomer as the reducing agent for nonenzymatic electrochemical detection of glucose New York, NY [u.a.] volume:73 year:2015 pages:1-19 extent:19 |
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Enthalten in One pot synthesis of poly(5-hydroxyl-1,4-naphthoquinone) stabilized gold nanoparticles using the monomer as the reducing agent for nonenzymatic electrochemical detection of glucose New York, NY [u.a.] volume:73 year:2015 pages:1-19 extent:19 |
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One pot synthesis of poly(5-hydroxyl-1,4-naphthoquinone) stabilized gold nanoparticles using the monomer as the reducing agent for nonenzymatic electrochemical detection of glucose |
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(3,2)-mixed refined zigzag theory for generally laminated beams: theoretical development and c0 finite element formulation |
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The (3,2)-Mixed Refined Zigzag Theory for generally laminated beams: Theoretical development and C0 finite element formulation |
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A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. |
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A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. |
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A third-order Refined Zigzag Theory for multilayered composite and sandwich beams is developed based on the Reissner Mixed Variational Theorem. The assumed kinematics enriches the Timoshenko’s beam Theory: a second- and a third-order smeared polynomial terms along with a piece-wise linear contributions are added to the axial displacement, whereas the transverse displacement is approximated with a power-series expansion up to the second-order term. Transverse shear and normal stress, continuous and able to satisfy the boundary stress conditions on the outer beam surfaces, are assumed by the model: the transverse shear stress is derived with the aid of the Elasticity equations, whereas a third-order power-series expansion is adopted for the transverse normal stress. Based on the proposed model, an efficient C0 -continuous beam element is formulated by adopting the anisoparametric interpolation strategy to avoid the shear locking phenomenon. The accuracy of the proposed model and the finite element implementation is assessed by solving problems concerning the elasto-static behavior of generally laminated beams, both simply supported and clamped at the ends. Comparison with reference solution (Elasticity or high-fidelity FE model) demonstrates the remarkable accuracy of the proposed model, both in terms of displacements and stresses distributions, as well as the finite element implementation efficiency. |
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