publication . Article . 2015

Implicit implementation and consistent tangent modulus of a viscoplastic model for polymers

ACHOUR, Nadia; Chatzigeorgiou, Georges; Meraghni, Fodil; CHEMISKY, Yves; Fitoussi, Joseph;
Open Access English
  • Published: 01 Sep 2015
  • Publisher: HAL CCSD
  • Country: France
Abstract
In this work, the phenomenological viscoplastic DSGZ model[Duan, Y., Saigal, A., Greif, R., Zimmerman, M. A., 2001. A Uniform Phenomenological Constitutive Model for Glassy and Semicrystalline Polymers. Polymer Engineering and Science 41 (8), 1322-1328], developed for glassy or semi-crystalline polymers, is numerically implemented in a three dimensional framework, following an implicit formulation. The computational methodology is based on the radial return mapping algorithm. This implicit formulation leads to the definition of the consistent tangent modulus which permits the implementation in incremental micromechanical scale transitionanalysis. The extended mo...
Subjects
free text keywords: Matériaux [Sciences de l'ingénieur], Mécanique [Sciences de l'ingénieur], Modélisation et simulation [Informatique], Mécanique: Matériaux et structures en mécanique [Sciences de l'ingénieur], Mécanique: Mécanique des solides [Sciences de l'ingénieur], Mécanique: Mécanique des structures [Sciences de l'ingénieur], Polymers, Viscoplasticity, Implicit Formulation, Consistent Tangent Modulus, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph], [SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph], [SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the solides [physics.class-ph], [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph], Heuristic, Thermoplastic, chemistry.chemical_classification, chemistry, Scale transition, Genetic algorithm, Composite material, Finite element method, Tangent modulus, Materials science, Polymer
38 references, page 1 of 3

Abdul-Hameed, H., Messager, T., Zairi, F., Nait-Abdelaziz, M., 2014. Largestrain viscoelasticviscoplastic constitutive modeling of semi-crystalline polymers and model identi cation by deterministic/evolutionary approach. Computational Materials Science 90, 241 { 252. [OpenAIRE]

Arif, M., Meraghni, F., Chemisky, Y., Despringre, N., Robert, G., 2014. In situ damage mechanisms investigation of PA66/GF30 composite: E ect of relative humidity. Composites Part B: Engineering 58, 487{495. [OpenAIRE]

Ayoub, G., Zairi, F., Nait-Abdelaziz, M., Gloaguen, J., 2010. Modelling large deformation behaviour under loading-unloading of semicrystalline polymers: Application to a high density polyethylene. International Journal of Plasticity 26 (3), 329{347. [OpenAIRE]

Balieu, R., Lauro, F., Bennani, B., Delille, R., Matsumoto, T., Mottola, E., 2013. A fully coupled elastoviscoplastic damage model at nite strains. International Journal of Plasticity (51), pp. 241270. [OpenAIRE]

Billon, N., 2012. New constitutive modeling for time-dependent mechanical behavior of polymers close to glass transition: Fundamentals and experimental validation. Journal of Applied Polymer Science 125 (6), 4390{4401. [OpenAIRE]

Brooks, J., 1996. Thermo-Mechanical Processing: Theory, Modeling and Practice. A Conference Organized in Celebration of the 75th Anniversary of the Swedish Society for Material Technology.

Brostow, W., Corneliussen, R., 1986. failure of plastics. New York: Macmillan Pub.

Chemisky, Y., Meraghni, F., Bourgeois, N., Cornell, S., Echchor , R., Patoor, E., 2015. Analysis of the deformation paths and thermomechanical parameter identi cation of a shape memory alloy using digital image correlation over heterogeneous tests. International Journal of Mechanical Sciences 9697 (0), 13 { 24.

Chen, W. F., Han, D. J., 1988. Plasticity for Structural Engineers. Springer, Berlin.

Colak, O., 2005. Modeling deformation behavior of polymers with viscoplasticity theory based on overstress. International Journal of Plasticity 21 (1), 145{160.

Doghri, I., Ouaar, A., 2003. Homogenization of two-phase elasto-plastic composite materials and structures. Study of tangent operators, cyclic plasticity and structures. International Journal of Solids and Structures 40, 1681{1712. [OpenAIRE]

Drozdov, Christiansen, J., 2008. Thermo-viscoleastic and viscoplastic behaviour of high-density polyethylene. International Journal of Solids and Structures (45), 42744288. [OpenAIRE]

Duan, Y., Saigal, A., Greif, R., Zimmerman, M. A., 2001. A Uniform Phenomenological Constitutive Model for Glassy and Semicrystalline Polymers. Polymer Engineering and Science 41 (8), 1322{1328.

Duan, Y., Saigal, A., Greif, R., Zimmerman, M. A., 2002. Analysis of Multiaxial Impact Behavior of Polymers. Polymer Engineering and Science 42 (2), 395{402.

Fleischhauer, R., Dal, H., Kaliske, M., Schneider, K., 2012. A constitutive model for nite deformation of amorphous polymers. International Journal of Mechanical Sciences 65 (1), 48{63.

38 references, page 1 of 3
Abstract
In this work, the phenomenological viscoplastic DSGZ model[Duan, Y., Saigal, A., Greif, R., Zimmerman, M. A., 2001. A Uniform Phenomenological Constitutive Model for Glassy and Semicrystalline Polymers. Polymer Engineering and Science 41 (8), 1322-1328], developed for glassy or semi-crystalline polymers, is numerically implemented in a three dimensional framework, following an implicit formulation. The computational methodology is based on the radial return mapping algorithm. This implicit formulation leads to the definition of the consistent tangent modulus which permits the implementation in incremental micromechanical scale transitionanalysis. The extended mo...
Subjects
free text keywords: Matériaux [Sciences de l'ingénieur], Mécanique [Sciences de l'ingénieur], Modélisation et simulation [Informatique], Mécanique: Matériaux et structures en mécanique [Sciences de l'ingénieur], Mécanique: Mécanique des solides [Sciences de l'ingénieur], Mécanique: Mécanique des structures [Sciences de l'ingénieur], Polymers, Viscoplasticity, Implicit Formulation, Consistent Tangent Modulus, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph], [SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph], [SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the solides [physics.class-ph], [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph], Heuristic, Thermoplastic, chemistry.chemical_classification, chemistry, Scale transition, Genetic algorithm, Composite material, Finite element method, Tangent modulus, Materials science, Polymer
38 references, page 1 of 3

Abdul-Hameed, H., Messager, T., Zairi, F., Nait-Abdelaziz, M., 2014. Largestrain viscoelasticviscoplastic constitutive modeling of semi-crystalline polymers and model identi cation by deterministic/evolutionary approach. Computational Materials Science 90, 241 { 252. [OpenAIRE]

Arif, M., Meraghni, F., Chemisky, Y., Despringre, N., Robert, G., 2014. In situ damage mechanisms investigation of PA66/GF30 composite: E ect of relative humidity. Composites Part B: Engineering 58, 487{495. [OpenAIRE]

Ayoub, G., Zairi, F., Nait-Abdelaziz, M., Gloaguen, J., 2010. Modelling large deformation behaviour under loading-unloading of semicrystalline polymers: Application to a high density polyethylene. International Journal of Plasticity 26 (3), 329{347. [OpenAIRE]

Balieu, R., Lauro, F., Bennani, B., Delille, R., Matsumoto, T., Mottola, E., 2013. A fully coupled elastoviscoplastic damage model at nite strains. International Journal of Plasticity (51), pp. 241270. [OpenAIRE]

Billon, N., 2012. New constitutive modeling for time-dependent mechanical behavior of polymers close to glass transition: Fundamentals and experimental validation. Journal of Applied Polymer Science 125 (6), 4390{4401. [OpenAIRE]

Brooks, J., 1996. Thermo-Mechanical Processing: Theory, Modeling and Practice. A Conference Organized in Celebration of the 75th Anniversary of the Swedish Society for Material Technology.

Brostow, W., Corneliussen, R., 1986. failure of plastics. New York: Macmillan Pub.

Chemisky, Y., Meraghni, F., Bourgeois, N., Cornell, S., Echchor , R., Patoor, E., 2015. Analysis of the deformation paths and thermomechanical parameter identi cation of a shape memory alloy using digital image correlation over heterogeneous tests. International Journal of Mechanical Sciences 9697 (0), 13 { 24.

Chen, W. F., Han, D. J., 1988. Plasticity for Structural Engineers. Springer, Berlin.

Colak, O., 2005. Modeling deformation behavior of polymers with viscoplasticity theory based on overstress. International Journal of Plasticity 21 (1), 145{160.

Doghri, I., Ouaar, A., 2003. Homogenization of two-phase elasto-plastic composite materials and structures. Study of tangent operators, cyclic plasticity and structures. International Journal of Solids and Structures 40, 1681{1712. [OpenAIRE]

Drozdov, Christiansen, J., 2008. Thermo-viscoleastic and viscoplastic behaviour of high-density polyethylene. International Journal of Solids and Structures (45), 42744288. [OpenAIRE]

Duan, Y., Saigal, A., Greif, R., Zimmerman, M. A., 2001. A Uniform Phenomenological Constitutive Model for Glassy and Semicrystalline Polymers. Polymer Engineering and Science 41 (8), 1322{1328.

Duan, Y., Saigal, A., Greif, R., Zimmerman, M. A., 2002. Analysis of Multiaxial Impact Behavior of Polymers. Polymer Engineering and Science 42 (2), 395{402.

Fleischhauer, R., Dal, H., Kaliske, M., Schneider, K., 2012. A constitutive model for nite deformation of amorphous polymers. International Journal of Mechanical Sciences 65 (1), 48{63.

38 references, page 1 of 3
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publication . Article . 2015

Implicit implementation and consistent tangent modulus of a viscoplastic model for polymers

ACHOUR, Nadia; Chatzigeorgiou, Georges; Meraghni, Fodil; CHEMISKY, Yves; Fitoussi, Joseph;