Static response of elastic inflated wrinkled membranes
Abstract In this paper we present an effective numerical algorithm for determining the equilibrium shapes of inflated elastic membranes susceptible to wrinkling. The use of a two-state constitutive law and the introduction of a suitable criterion allow for accounting for wrinkling of the membrane, a...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Barsotti, Riccardo [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Computational mechanics - Springer Berlin Heidelberg, 1986, 53(2013), 5 vom: 27. Nov., Seite 1001-1013 |
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| Übergeordnetes Werk: |
volume:53 ; year:2013 ; number:5 ; day:27 ; month:11 ; pages:1001-1013 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00466-013-0945-5 |
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| Katalog-ID: |
OLC2054924814 |
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| 520 | |a Abstract In this paper we present an effective numerical algorithm for determining the equilibrium shapes of inflated elastic membranes susceptible to wrinkling. The use of a two-state constitutive law and the introduction of a suitable criterion allow for accounting for wrinkling of the membrane, although in an approximated way. In the active state, the material is able to transmit only tensile stresses; vice versa, in the passive state it is stress-free and can contract freely. Equilibrium of the membrane in the current inflated configuration is enforced by recourse to the minimum total potential energy principle, whereas the Lagrange multipliers method is used to solve the minimum problem by accounting for the aforesaid nonlinear constitutive law. We use an expressly developed iterative-incremental numerical algorithm, consistent with the established governing set of equations, for accurately monitoring the evolution of the stress field in the membrane during the inflation process. Specifically, we suppose that the membrane reaches its final shape at the end of a four-stage loading process corresponding to the temporary enforcement and the subsequent removal of a fictitious antagonist plane traction acting uniformly along its entire boundary. By this way it is possible to solve with great accuracy the set of governing equilibrium equations by means of a numerical procedure in which the membrane’s tangent stiffness is always kept different from zero. The soundness of the proposed algorithm is verified by comparing the results with well-known solutions available in the literature. In particular, for each specific value of pressure, the current configuration of the inflated membrane found by assuming that compressions are allowed is compared in details to the corresponding pseudo-deformed surface, obtained by assuming a tension-only response. | ||
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| 650 | 4 | |a Large displacement analysis | |
| 650 | 4 | |a Wrinkling | |
| 650 | 4 | |a Pseudo-deformed surface | |
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10.1007/s00466-013-0945-5 doi (DE-627)OLC2054924814 (DE-He213)s00466-013-0945-5-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Barsotti, Riccardo verfasserin aut Static response of elastic inflated wrinkled membranes 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract In this paper we present an effective numerical algorithm for determining the equilibrium shapes of inflated elastic membranes susceptible to wrinkling. The use of a two-state constitutive law and the introduction of a suitable criterion allow for accounting for wrinkling of the membrane, although in an approximated way. In the active state, the material is able to transmit only tensile stresses; vice versa, in the passive state it is stress-free and can contract freely. Equilibrium of the membrane in the current inflated configuration is enforced by recourse to the minimum total potential energy principle, whereas the Lagrange multipliers method is used to solve the minimum problem by accounting for the aforesaid nonlinear constitutive law. We use an expressly developed iterative-incremental numerical algorithm, consistent with the established governing set of equations, for accurately monitoring the evolution of the stress field in the membrane during the inflation process. Specifically, we suppose that the membrane reaches its final shape at the end of a four-stage loading process corresponding to the temporary enforcement and the subsequent removal of a fictitious antagonist plane traction acting uniformly along its entire boundary. By this way it is possible to solve with great accuracy the set of governing equilibrium equations by means of a numerical procedure in which the membrane’s tangent stiffness is always kept different from zero. The soundness of the proposed algorithm is verified by comparing the results with well-known solutions available in the literature. In particular, for each specific value of pressure, the current configuration of the inflated membrane found by assuming that compressions are allowed is compared in details to the corresponding pseudo-deformed surface, obtained by assuming a tension-only response. Inflatable structures Large displacement analysis Wrinkling Pseudo-deformed surface Ligarò, Salvatore S. aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 53(2013), 5 vom: 27. Nov., Seite 1001-1013 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:53 year:2013 number:5 day:27 month:11 pages:1001-1013 https://doi.org/10.1007/s00466-013-0945-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 53 2013 5 27 11 1001-1013 |
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10.1007/s00466-013-0945-5 doi (DE-627)OLC2054924814 (DE-He213)s00466-013-0945-5-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Barsotti, Riccardo verfasserin aut Static response of elastic inflated wrinkled membranes 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract In this paper we present an effective numerical algorithm for determining the equilibrium shapes of inflated elastic membranes susceptible to wrinkling. The use of a two-state constitutive law and the introduction of a suitable criterion allow for accounting for wrinkling of the membrane, although in an approximated way. In the active state, the material is able to transmit only tensile stresses; vice versa, in the passive state it is stress-free and can contract freely. Equilibrium of the membrane in the current inflated configuration is enforced by recourse to the minimum total potential energy principle, whereas the Lagrange multipliers method is used to solve the minimum problem by accounting for the aforesaid nonlinear constitutive law. We use an expressly developed iterative-incremental numerical algorithm, consistent with the established governing set of equations, for accurately monitoring the evolution of the stress field in the membrane during the inflation process. Specifically, we suppose that the membrane reaches its final shape at the end of a four-stage loading process corresponding to the temporary enforcement and the subsequent removal of a fictitious antagonist plane traction acting uniformly along its entire boundary. By this way it is possible to solve with great accuracy the set of governing equilibrium equations by means of a numerical procedure in which the membrane’s tangent stiffness is always kept different from zero. The soundness of the proposed algorithm is verified by comparing the results with well-known solutions available in the literature. In particular, for each specific value of pressure, the current configuration of the inflated membrane found by assuming that compressions are allowed is compared in details to the corresponding pseudo-deformed surface, obtained by assuming a tension-only response. Inflatable structures Large displacement analysis Wrinkling Pseudo-deformed surface Ligarò, Salvatore S. aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 53(2013), 5 vom: 27. Nov., Seite 1001-1013 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:53 year:2013 number:5 day:27 month:11 pages:1001-1013 https://doi.org/10.1007/s00466-013-0945-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 53 2013 5 27 11 1001-1013 |
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10.1007/s00466-013-0945-5 doi (DE-627)OLC2054924814 (DE-He213)s00466-013-0945-5-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Barsotti, Riccardo verfasserin aut Static response of elastic inflated wrinkled membranes 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract In this paper we present an effective numerical algorithm for determining the equilibrium shapes of inflated elastic membranes susceptible to wrinkling. The use of a two-state constitutive law and the introduction of a suitable criterion allow for accounting for wrinkling of the membrane, although in an approximated way. In the active state, the material is able to transmit only tensile stresses; vice versa, in the passive state it is stress-free and can contract freely. Equilibrium of the membrane in the current inflated configuration is enforced by recourse to the minimum total potential energy principle, whereas the Lagrange multipliers method is used to solve the minimum problem by accounting for the aforesaid nonlinear constitutive law. We use an expressly developed iterative-incremental numerical algorithm, consistent with the established governing set of equations, for accurately monitoring the evolution of the stress field in the membrane during the inflation process. Specifically, we suppose that the membrane reaches its final shape at the end of a four-stage loading process corresponding to the temporary enforcement and the subsequent removal of a fictitious antagonist plane traction acting uniformly along its entire boundary. By this way it is possible to solve with great accuracy the set of governing equilibrium equations by means of a numerical procedure in which the membrane’s tangent stiffness is always kept different from zero. The soundness of the proposed algorithm is verified by comparing the results with well-known solutions available in the literature. In particular, for each specific value of pressure, the current configuration of the inflated membrane found by assuming that compressions are allowed is compared in details to the corresponding pseudo-deformed surface, obtained by assuming a tension-only response. Inflatable structures Large displacement analysis Wrinkling Pseudo-deformed surface Ligarò, Salvatore S. aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 53(2013), 5 vom: 27. Nov., Seite 1001-1013 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:53 year:2013 number:5 day:27 month:11 pages:1001-1013 https://doi.org/10.1007/s00466-013-0945-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 53 2013 5 27 11 1001-1013 |
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10.1007/s00466-013-0945-5 doi (DE-627)OLC2054924814 (DE-He213)s00466-013-0945-5-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Barsotti, Riccardo verfasserin aut Static response of elastic inflated wrinkled membranes 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract In this paper we present an effective numerical algorithm for determining the equilibrium shapes of inflated elastic membranes susceptible to wrinkling. The use of a two-state constitutive law and the introduction of a suitable criterion allow for accounting for wrinkling of the membrane, although in an approximated way. In the active state, the material is able to transmit only tensile stresses; vice versa, in the passive state it is stress-free and can contract freely. Equilibrium of the membrane in the current inflated configuration is enforced by recourse to the minimum total potential energy principle, whereas the Lagrange multipliers method is used to solve the minimum problem by accounting for the aforesaid nonlinear constitutive law. We use an expressly developed iterative-incremental numerical algorithm, consistent with the established governing set of equations, for accurately monitoring the evolution of the stress field in the membrane during the inflation process. Specifically, we suppose that the membrane reaches its final shape at the end of a four-stage loading process corresponding to the temporary enforcement and the subsequent removal of a fictitious antagonist plane traction acting uniformly along its entire boundary. By this way it is possible to solve with great accuracy the set of governing equilibrium equations by means of a numerical procedure in which the membrane’s tangent stiffness is always kept different from zero. The soundness of the proposed algorithm is verified by comparing the results with well-known solutions available in the literature. In particular, for each specific value of pressure, the current configuration of the inflated membrane found by assuming that compressions are allowed is compared in details to the corresponding pseudo-deformed surface, obtained by assuming a tension-only response. Inflatable structures Large displacement analysis Wrinkling Pseudo-deformed surface Ligarò, Salvatore S. aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 53(2013), 5 vom: 27. Nov., Seite 1001-1013 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:53 year:2013 number:5 day:27 month:11 pages:1001-1013 https://doi.org/10.1007/s00466-013-0945-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 53 2013 5 27 11 1001-1013 |
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10.1007/s00466-013-0945-5 doi (DE-627)OLC2054924814 (DE-He213)s00466-013-0945-5-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Barsotti, Riccardo verfasserin aut Static response of elastic inflated wrinkled membranes 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract In this paper we present an effective numerical algorithm for determining the equilibrium shapes of inflated elastic membranes susceptible to wrinkling. The use of a two-state constitutive law and the introduction of a suitable criterion allow for accounting for wrinkling of the membrane, although in an approximated way. In the active state, the material is able to transmit only tensile stresses; vice versa, in the passive state it is stress-free and can contract freely. Equilibrium of the membrane in the current inflated configuration is enforced by recourse to the minimum total potential energy principle, whereas the Lagrange multipliers method is used to solve the minimum problem by accounting for the aforesaid nonlinear constitutive law. We use an expressly developed iterative-incremental numerical algorithm, consistent with the established governing set of equations, for accurately monitoring the evolution of the stress field in the membrane during the inflation process. Specifically, we suppose that the membrane reaches its final shape at the end of a four-stage loading process corresponding to the temporary enforcement and the subsequent removal of a fictitious antagonist plane traction acting uniformly along its entire boundary. By this way it is possible to solve with great accuracy the set of governing equilibrium equations by means of a numerical procedure in which the membrane’s tangent stiffness is always kept different from zero. The soundness of the proposed algorithm is verified by comparing the results with well-known solutions available in the literature. In particular, for each specific value of pressure, the current configuration of the inflated membrane found by assuming that compressions are allowed is compared in details to the corresponding pseudo-deformed surface, obtained by assuming a tension-only response. Inflatable structures Large displacement analysis Wrinkling Pseudo-deformed surface Ligarò, Salvatore S. aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 53(2013), 5 vom: 27. Nov., Seite 1001-1013 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:53 year:2013 number:5 day:27 month:11 pages:1001-1013 https://doi.org/10.1007/s00466-013-0945-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 53 2013 5 27 11 1001-1013 |
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Static response of elastic inflated wrinkled membranes |
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Static response of elastic inflated wrinkled membranes |
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Barsotti, Riccardo |
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Computational mechanics |
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2013 |
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Barsotti, Riccardo Ligarò, Salvatore S. |
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Barsotti, Riccardo |
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10.1007/s00466-013-0945-5 |
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530 004 |
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static response of elastic inflated wrinkled membranes |
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Static response of elastic inflated wrinkled membranes |
| abstract |
Abstract In this paper we present an effective numerical algorithm for determining the equilibrium shapes of inflated elastic membranes susceptible to wrinkling. The use of a two-state constitutive law and the introduction of a suitable criterion allow for accounting for wrinkling of the membrane, although in an approximated way. In the active state, the material is able to transmit only tensile stresses; vice versa, in the passive state it is stress-free and can contract freely. Equilibrium of the membrane in the current inflated configuration is enforced by recourse to the minimum total potential energy principle, whereas the Lagrange multipliers method is used to solve the minimum problem by accounting for the aforesaid nonlinear constitutive law. We use an expressly developed iterative-incremental numerical algorithm, consistent with the established governing set of equations, for accurately monitoring the evolution of the stress field in the membrane during the inflation process. Specifically, we suppose that the membrane reaches its final shape at the end of a four-stage loading process corresponding to the temporary enforcement and the subsequent removal of a fictitious antagonist plane traction acting uniformly along its entire boundary. By this way it is possible to solve with great accuracy the set of governing equilibrium equations by means of a numerical procedure in which the membrane’s tangent stiffness is always kept different from zero. The soundness of the proposed algorithm is verified by comparing the results with well-known solutions available in the literature. In particular, for each specific value of pressure, the current configuration of the inflated membrane found by assuming that compressions are allowed is compared in details to the corresponding pseudo-deformed surface, obtained by assuming a tension-only response. © Springer-Verlag Berlin Heidelberg 2013 |
| abstractGer |
Abstract In this paper we present an effective numerical algorithm for determining the equilibrium shapes of inflated elastic membranes susceptible to wrinkling. The use of a two-state constitutive law and the introduction of a suitable criterion allow for accounting for wrinkling of the membrane, although in an approximated way. In the active state, the material is able to transmit only tensile stresses; vice versa, in the passive state it is stress-free and can contract freely. Equilibrium of the membrane in the current inflated configuration is enforced by recourse to the minimum total potential energy principle, whereas the Lagrange multipliers method is used to solve the minimum problem by accounting for the aforesaid nonlinear constitutive law. We use an expressly developed iterative-incremental numerical algorithm, consistent with the established governing set of equations, for accurately monitoring the evolution of the stress field in the membrane during the inflation process. Specifically, we suppose that the membrane reaches its final shape at the end of a four-stage loading process corresponding to the temporary enforcement and the subsequent removal of a fictitious antagonist plane traction acting uniformly along its entire boundary. By this way it is possible to solve with great accuracy the set of governing equilibrium equations by means of a numerical procedure in which the membrane’s tangent stiffness is always kept different from zero. The soundness of the proposed algorithm is verified by comparing the results with well-known solutions available in the literature. In particular, for each specific value of pressure, the current configuration of the inflated membrane found by assuming that compressions are allowed is compared in details to the corresponding pseudo-deformed surface, obtained by assuming a tension-only response. © Springer-Verlag Berlin Heidelberg 2013 |
| abstract_unstemmed |
Abstract In this paper we present an effective numerical algorithm for determining the equilibrium shapes of inflated elastic membranes susceptible to wrinkling. The use of a two-state constitutive law and the introduction of a suitable criterion allow for accounting for wrinkling of the membrane, although in an approximated way. In the active state, the material is able to transmit only tensile stresses; vice versa, in the passive state it is stress-free and can contract freely. Equilibrium of the membrane in the current inflated configuration is enforced by recourse to the minimum total potential energy principle, whereas the Lagrange multipliers method is used to solve the minimum problem by accounting for the aforesaid nonlinear constitutive law. We use an expressly developed iterative-incremental numerical algorithm, consistent with the established governing set of equations, for accurately monitoring the evolution of the stress field in the membrane during the inflation process. Specifically, we suppose that the membrane reaches its final shape at the end of a four-stage loading process corresponding to the temporary enforcement and the subsequent removal of a fictitious antagonist plane traction acting uniformly along its entire boundary. By this way it is possible to solve with great accuracy the set of governing equilibrium equations by means of a numerical procedure in which the membrane’s tangent stiffness is always kept different from zero. The soundness of the proposed algorithm is verified by comparing the results with well-known solutions available in the literature. In particular, for each specific value of pressure, the current configuration of the inflated membrane found by assuming that compressions are allowed is compared in details to the corresponding pseudo-deformed surface, obtained by assuming a tension-only response. © Springer-Verlag Berlin Heidelberg 2013 |
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Static response of elastic inflated wrinkled membranes |
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