Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures

A hybrid-mixed functionally graded material (FGM) piezoelectric four-node solid-shell element through the sampling surfaces (SaS) method is proposed. The SaS formulation is based on choosing inside the shell N SaS parallel to the middle surface in order to introduce the displacements and electric po...
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Autor*in:	Kulikov G. M. [verfasserIn] Plotnikova S. V. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	fgm piezoelectric shell exact geometry solid-shell element hybrid-mixed method sampling surfaces method

Übergeordnetes Werk:	In: Curved and Layered Structures - De Gruyter, 2015, 5(2018), 1, Seite 116-135
Übergeordnetes Werk:	volume:5 ; year:2018 ; number:1 ; pages:116-135

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1515/cls-2018-0009

Katalog-ID:	DOAJ060054557

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520			\|a A hybrid-mixed functionally graded material (FGM) piezoelectric four-node solid-shell element through the sampling surfaces (SaS) method is proposed. The SaS formulation is based on choosing inside the shell N SaS parallel to the middle surface in order to introduce the displacements and electric potentials of these surfaces as fundamental shell unknowns. Such choice of unknowns with the use of Lagrange polynomials of degree N-1 in through-thickness interpolations of the displacements, strains, electric potential, electric field and material properties leads to a robust FGM piezoelectric shell formulation. The inner SaS are located at Chebyshev polynomial nodes that make it possible to minimize uniformly the error due to Lagrange interpolation. To implement the effective analytical integration throughout the element, the extended assumed natural strain (ANS) method is employed. As a result, the piezoelectric four-node solid-shell element exhibits a superior performance in the case of coarse meshes. To circumvent shear and membrane locking, the hybrid stress-strain solid-shell formulation via the Hu-Washizu variational principle is employed. The developed solid-shell element could be useful for the 3D stress analysis of FGMstructures because the SaS method allows obtaining the solutions with a prescribed accuracy, which asymptotically approach the exact solutions of electroelasticity as the number of SaS tends to infinity.
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spelling	10.1515/cls-2018-0009 doi (DE-627)DOAJ060054557 (DE-599)DOAJ16232c702d7540e5a6b4316db73743e4 DE-627 ger DE-627 rakwb eng TA349-359 Kulikov G. M. verfasserin aut Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A hybrid-mixed functionally graded material (FGM) piezoelectric four-node solid-shell element through the sampling surfaces (SaS) method is proposed. The SaS formulation is based on choosing inside the shell N SaS parallel to the middle surface in order to introduce the displacements and electric potentials of these surfaces as fundamental shell unknowns. Such choice of unknowns with the use of Lagrange polynomials of degree N-1 in through-thickness interpolations of the displacements, strains, electric potential, electric field and material properties leads to a robust FGM piezoelectric shell formulation. The inner SaS are located at Chebyshev polynomial nodes that make it possible to minimize uniformly the error due to Lagrange interpolation. To implement the effective analytical integration throughout the element, the extended assumed natural strain (ANS) method is employed. As a result, the piezoelectric four-node solid-shell element exhibits a superior performance in the case of coarse meshes. To circumvent shear and membrane locking, the hybrid stress-strain solid-shell formulation via the Hu-Washizu variational principle is employed. The developed solid-shell element could be useful for the 3D stress analysis of FGMstructures because the SaS method allows obtaining the solutions with a prescribed accuracy, which asymptotically approach the exact solutions of electroelasticity as the number of SaS tends to infinity. fgm piezoelectric shell exact geometry solid-shell element hybrid-mixed method sampling surfaces method Mechanics of engineering. Applied mechanics Plotnikova S. V. verfasserin aut In Curved and Layered Structures De Gruyter, 2015 5(2018), 1, Seite 116-135 (DE-627)863449328 (DE-600)2862627-8 23537396 nnns volume:5 year:2018 number:1 pages:116-135 https://doi.org/10.1515/cls-2018-0009 kostenfrei https://doaj.org/article/16232c702d7540e5a6b4316db73743e4 kostenfrei https://doi.org/10.1515/cls-2018-0009 kostenfrei https://doaj.org/toc/2353-7396 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2112 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 5 2018 1 116-135
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source	In Curved and Layered Structures 5(2018), 1, Seite 116-135 volume:5 year:2018 number:1 pages:116-135
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authorswithroles_txt_mv	Kulikov G. M. @@aut@@ Plotnikova S. V. @@aut@@
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M.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A hybrid-mixed functionally graded material (FGM) piezoelectric four-node solid-shell element through the sampling surfaces (SaS) method is proposed. The SaS formulation is based on choosing inside the shell N SaS parallel to the middle surface in order to introduce the displacements and electric potentials of these surfaces as fundamental shell unknowns. Such choice of unknowns with the use of Lagrange polynomials of degree N-1 in through-thickness interpolations of the displacements, strains, electric potential, electric field and material properties leads to a robust FGM piezoelectric shell formulation. The inner SaS are located at Chebyshev polynomial nodes that make it possible to minimize uniformly the error due to Lagrange interpolation. To implement the effective analytical integration throughout the element, the extended assumed natural strain (ANS) method is employed. As a result, the piezoelectric four-node solid-shell element exhibits a superior performance in the case of coarse meshes. 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callnumber-first	T - Technology
author	Kulikov G. M.
spellingShingle	Kulikov G. M. misc TA349-359 misc fgm piezoelectric shell misc exact geometry solid-shell element misc hybrid-mixed method misc sampling surfaces method misc Mechanics of engineering. Applied mechanics Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures
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topic_title	TA349-359 Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures fgm piezoelectric shell exact geometry solid-shell element hybrid-mixed method sampling surfaces method
topic	misc TA349-359 misc fgm piezoelectric shell misc exact geometry solid-shell element misc hybrid-mixed method misc sampling surfaces method misc Mechanics of engineering. Applied mechanics
topic_unstemmed	misc TA349-359 misc fgm piezoelectric shell misc exact geometry solid-shell element misc hybrid-mixed method misc sampling surfaces method misc Mechanics of engineering. Applied mechanics
topic_browse	misc TA349-359 misc fgm piezoelectric shell misc exact geometry solid-shell element misc hybrid-mixed method misc sampling surfaces method misc Mechanics of engineering. Applied mechanics
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title	Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures
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title_full	Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures
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title_sort	exact geometry sas solid-shell element for 3d stress analysis of fgm piezoelectric structures
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title_auth	Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures
abstract	A hybrid-mixed functionally graded material (FGM) piezoelectric four-node solid-shell element through the sampling surfaces (SaS) method is proposed. The SaS formulation is based on choosing inside the shell N SaS parallel to the middle surface in order to introduce the displacements and electric potentials of these surfaces as fundamental shell unknowns. Such choice of unknowns with the use of Lagrange polynomials of degree N-1 in through-thickness interpolations of the displacements, strains, electric potential, electric field and material properties leads to a robust FGM piezoelectric shell formulation. The inner SaS are located at Chebyshev polynomial nodes that make it possible to minimize uniformly the error due to Lagrange interpolation. To implement the effective analytical integration throughout the element, the extended assumed natural strain (ANS) method is employed. As a result, the piezoelectric four-node solid-shell element exhibits a superior performance in the case of coarse meshes. To circumvent shear and membrane locking, the hybrid stress-strain solid-shell formulation via the Hu-Washizu variational principle is employed. The developed solid-shell element could be useful for the 3D stress analysis of FGMstructures because the SaS method allows obtaining the solutions with a prescribed accuracy, which asymptotically approach the exact solutions of electroelasticity as the number of SaS tends to infinity.
abstractGer	A hybrid-mixed functionally graded material (FGM) piezoelectric four-node solid-shell element through the sampling surfaces (SaS) method is proposed. The SaS formulation is based on choosing inside the shell N SaS parallel to the middle surface in order to introduce the displacements and electric potentials of these surfaces as fundamental shell unknowns. Such choice of unknowns with the use of Lagrange polynomials of degree N-1 in through-thickness interpolations of the displacements, strains, electric potential, electric field and material properties leads to a robust FGM piezoelectric shell formulation. The inner SaS are located at Chebyshev polynomial nodes that make it possible to minimize uniformly the error due to Lagrange interpolation. To implement the effective analytical integration throughout the element, the extended assumed natural strain (ANS) method is employed. As a result, the piezoelectric four-node solid-shell element exhibits a superior performance in the case of coarse meshes. To circumvent shear and membrane locking, the hybrid stress-strain solid-shell formulation via the Hu-Washizu variational principle is employed. The developed solid-shell element could be useful for the 3D stress analysis of FGMstructures because the SaS method allows obtaining the solutions with a prescribed accuracy, which asymptotically approach the exact solutions of electroelasticity as the number of SaS tends to infinity.
abstract_unstemmed	A hybrid-mixed functionally graded material (FGM) piezoelectric four-node solid-shell element through the sampling surfaces (SaS) method is proposed. The SaS formulation is based on choosing inside the shell N SaS parallel to the middle surface in order to introduce the displacements and electric potentials of these surfaces as fundamental shell unknowns. Such choice of unknowns with the use of Lagrange polynomials of degree N-1 in through-thickness interpolations of the displacements, strains, electric potential, electric field and material properties leads to a robust FGM piezoelectric shell formulation. The inner SaS are located at Chebyshev polynomial nodes that make it possible to minimize uniformly the error due to Lagrange interpolation. To implement the effective analytical integration throughout the element, the extended assumed natural strain (ANS) method is employed. As a result, the piezoelectric four-node solid-shell element exhibits a superior performance in the case of coarse meshes. To circumvent shear and membrane locking, the hybrid stress-strain solid-shell formulation via the Hu-Washizu variational principle is employed. The developed solid-shell element could be useful for the 3D stress analysis of FGMstructures because the SaS method allows obtaining the solutions with a prescribed accuracy, which asymptotically approach the exact solutions of electroelasticity as the number of SaS tends to infinity.
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title_short	Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures
url	https://doi.org/10.1515/cls-2018-0009 https://doaj.org/article/16232c702d7540e5a6b4316db73743e4 https://doaj.org/toc/2353-7396
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Exact geometry SaS solid-shell element for 3D stress analysis of FGM piezoelectric structures

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