Elastodynamics of thin plates with internal dissipative processes part II. Computational aspects
Summary In part one of this paper an integral solution of the dynamic behavior of viscoplastic isotropic thin plates with ductile damage is derived. The main topic of the second part is the numerical solution of these integral equations. Green's functions due to external and internal excitation...
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Gespeichert in:
| Autor*in: |
Fotiu, P. A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1993 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 1993 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer-Verlag, 1965, 98(1993), 1-4 vom: März, Seite 187-212 |
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| Übergeordnetes Werk: |
volume:98 ; year:1993 ; number:1-4 ; month:03 ; pages:187-212 |
| Links: |
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| DOI / URN: |
10.1007/BF01174302 |
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| 520 | |a Summary In part one of this paper an integral solution of the dynamic behavior of viscoplastic isotropic thin plates with ductile damage is derived. The main topic of the second part is the numerical solution of these integral equations. Green's functions due to external and internal excitation are split into a quasistatic part and a purely dynamic part. Often the quasistatic part can be computed in a more convenient way than the complete dynamic fundamental solution. Especially in the case of a circular plate under axisymmetric loading conditions, which is treated as an example, the quasistatic solution exists in a closed form. The paper develops an implicit time integration algorithm, where the resulting system of equations is solved by an accelerated Newton-Raphson method. | ||
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| 650 | 4 | |a Implicit Time | |
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10.1007/BF01174302 doi (DE-627)OLC2030114308 (DE-He213)BF01174302-p DE-627 ger DE-627 rakwb eng 530 VZ Fotiu, P. A. verfasserin aut Elastodynamics of thin plates with internal dissipative processes part II. Computational aspects 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Summary In part one of this paper an integral solution of the dynamic behavior of viscoplastic isotropic thin plates with ductile damage is derived. The main topic of the second part is the numerical solution of these integral equations. Green's functions due to external and internal excitation are split into a quasistatic part and a purely dynamic part. Often the quasistatic part can be computed in a more convenient way than the complete dynamic fundamental solution. Especially in the case of a circular plate under axisymmetric loading conditions, which is treated as an example, the quasistatic solution exists in a closed form. The paper develops an implicit time integration algorithm, where the resulting system of equations is solved by an accelerated Newton-Raphson method. Fundamental Solution Thin Plate Circular Plate Implicit Time Integral Solution Enthalten in Acta mechanica Springer-Verlag, 1965 98(1993), 1-4 vom: März, Seite 187-212 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:98 year:1993 number:1-4 month:03 pages:187-212 https://doi.org/10.1007/BF01174302 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 98 1993 1-4 03 187-212 |
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10.1007/BF01174302 doi (DE-627)OLC2030114308 (DE-He213)BF01174302-p DE-627 ger DE-627 rakwb eng 530 VZ Fotiu, P. A. verfasserin aut Elastodynamics of thin plates with internal dissipative processes part II. Computational aspects 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Summary In part one of this paper an integral solution of the dynamic behavior of viscoplastic isotropic thin plates with ductile damage is derived. The main topic of the second part is the numerical solution of these integral equations. Green's functions due to external and internal excitation are split into a quasistatic part and a purely dynamic part. Often the quasistatic part can be computed in a more convenient way than the complete dynamic fundamental solution. Especially in the case of a circular plate under axisymmetric loading conditions, which is treated as an example, the quasistatic solution exists in a closed form. The paper develops an implicit time integration algorithm, where the resulting system of equations is solved by an accelerated Newton-Raphson method. Fundamental Solution Thin Plate Circular Plate Implicit Time Integral Solution Enthalten in Acta mechanica Springer-Verlag, 1965 98(1993), 1-4 vom: März, Seite 187-212 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:98 year:1993 number:1-4 month:03 pages:187-212 https://doi.org/10.1007/BF01174302 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 98 1993 1-4 03 187-212 |
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10.1007/BF01174302 doi (DE-627)OLC2030114308 (DE-He213)BF01174302-p DE-627 ger DE-627 rakwb eng 530 VZ Fotiu, P. A. verfasserin aut Elastodynamics of thin plates with internal dissipative processes part II. Computational aspects 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Summary In part one of this paper an integral solution of the dynamic behavior of viscoplastic isotropic thin plates with ductile damage is derived. The main topic of the second part is the numerical solution of these integral equations. Green's functions due to external and internal excitation are split into a quasistatic part and a purely dynamic part. Often the quasistatic part can be computed in a more convenient way than the complete dynamic fundamental solution. Especially in the case of a circular plate under axisymmetric loading conditions, which is treated as an example, the quasistatic solution exists in a closed form. The paper develops an implicit time integration algorithm, where the resulting system of equations is solved by an accelerated Newton-Raphson method. Fundamental Solution Thin Plate Circular Plate Implicit Time Integral Solution Enthalten in Acta mechanica Springer-Verlag, 1965 98(1993), 1-4 vom: März, Seite 187-212 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:98 year:1993 number:1-4 month:03 pages:187-212 https://doi.org/10.1007/BF01174302 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 98 1993 1-4 03 187-212 |
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10.1007/BF01174302 doi (DE-627)OLC2030114308 (DE-He213)BF01174302-p DE-627 ger DE-627 rakwb eng 530 VZ Fotiu, P. A. verfasserin aut Elastodynamics of thin plates with internal dissipative processes part II. Computational aspects 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Summary In part one of this paper an integral solution of the dynamic behavior of viscoplastic isotropic thin plates with ductile damage is derived. The main topic of the second part is the numerical solution of these integral equations. Green's functions due to external and internal excitation are split into a quasistatic part and a purely dynamic part. Often the quasistatic part can be computed in a more convenient way than the complete dynamic fundamental solution. Especially in the case of a circular plate under axisymmetric loading conditions, which is treated as an example, the quasistatic solution exists in a closed form. The paper develops an implicit time integration algorithm, where the resulting system of equations is solved by an accelerated Newton-Raphson method. Fundamental Solution Thin Plate Circular Plate Implicit Time Integral Solution Enthalten in Acta mechanica Springer-Verlag, 1965 98(1993), 1-4 vom: März, Seite 187-212 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:98 year:1993 number:1-4 month:03 pages:187-212 https://doi.org/10.1007/BF01174302 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 98 1993 1-4 03 187-212 |
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10.1007/BF01174302 doi (DE-627)OLC2030114308 (DE-He213)BF01174302-p DE-627 ger DE-627 rakwb eng 530 VZ Fotiu, P. A. verfasserin aut Elastodynamics of thin plates with internal dissipative processes part II. Computational aspects 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Summary In part one of this paper an integral solution of the dynamic behavior of viscoplastic isotropic thin plates with ductile damage is derived. The main topic of the second part is the numerical solution of these integral equations. Green's functions due to external and internal excitation are split into a quasistatic part and a purely dynamic part. Often the quasistatic part can be computed in a more convenient way than the complete dynamic fundamental solution. Especially in the case of a circular plate under axisymmetric loading conditions, which is treated as an example, the quasistatic solution exists in a closed form. The paper develops an implicit time integration algorithm, where the resulting system of equations is solved by an accelerated Newton-Raphson method. Fundamental Solution Thin Plate Circular Plate Implicit Time Integral Solution Enthalten in Acta mechanica Springer-Verlag, 1965 98(1993), 1-4 vom: März, Seite 187-212 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:98 year:1993 number:1-4 month:03 pages:187-212 https://doi.org/10.1007/BF01174302 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 98 1993 1-4 03 187-212 |
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Elastodynamics of thin plates with internal dissipative processes part II. Computational aspects |
| abstract |
Summary In part one of this paper an integral solution of the dynamic behavior of viscoplastic isotropic thin plates with ductile damage is derived. The main topic of the second part is the numerical solution of these integral equations. Green's functions due to external and internal excitation are split into a quasistatic part and a purely dynamic part. Often the quasistatic part can be computed in a more convenient way than the complete dynamic fundamental solution. Especially in the case of a circular plate under axisymmetric loading conditions, which is treated as an example, the quasistatic solution exists in a closed form. The paper develops an implicit time integration algorithm, where the resulting system of equations is solved by an accelerated Newton-Raphson method. © Springer-Verlag 1993 |
| abstractGer |
Summary In part one of this paper an integral solution of the dynamic behavior of viscoplastic isotropic thin plates with ductile damage is derived. The main topic of the second part is the numerical solution of these integral equations. Green's functions due to external and internal excitation are split into a quasistatic part and a purely dynamic part. Often the quasistatic part can be computed in a more convenient way than the complete dynamic fundamental solution. Especially in the case of a circular plate under axisymmetric loading conditions, which is treated as an example, the quasistatic solution exists in a closed form. The paper develops an implicit time integration algorithm, where the resulting system of equations is solved by an accelerated Newton-Raphson method. © Springer-Verlag 1993 |
| abstract_unstemmed |
Summary In part one of this paper an integral solution of the dynamic behavior of viscoplastic isotropic thin plates with ductile damage is derived. The main topic of the second part is the numerical solution of these integral equations. Green's functions due to external and internal excitation are split into a quasistatic part and a purely dynamic part. Often the quasistatic part can be computed in a more convenient way than the complete dynamic fundamental solution. Especially in the case of a circular plate under axisymmetric loading conditions, which is treated as an example, the quasistatic solution exists in a closed form. The paper develops an implicit time integration algorithm, where the resulting system of equations is solved by an accelerated Newton-Raphson method. © Springer-Verlag 1993 |
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| title_short |
Elastodynamics of thin plates with internal dissipative processes part II. Computational aspects |
| url |
https://doi.org/10.1007/BF01174302 |
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10.1007/BF01174302 |
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2024-07-04T01:18:22.093Z |
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