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Journal articles on the topic 'Viscoplastic modeling'

Author: Grafiati

Published: 18 May 2024

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1

Zhang, Yuqing, Fan Gu, Bjorn Birgisson, and Robert L. Lytton. "Viscoelasticplastic–Fracture Modeling of Asphalt Mixtures Under Monotonic and Repeated Loads." Transportation Research Record: Journal of the Transportation Research Board 2631, no. 1 (January 2017): 20–29. http://dx.doi.org/10.3141/2631-03.

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Rutting and cracking occur simultaneously in asphalt mixtures as observed in the field and in the laboratory. Existing mechanical models have not properly addressed viscoelastic and viscoplastic deformation together with cracking attributable to model deficiencies, parameter calibration, and numerical inefficiency. This study developed viscoelasticplastic–fracture (VEPF) models for the characterization of viscoelasticity by Prony model and viscoplasticity by Perzyna’s flow rule with a generalized Drucker–Prager yield surface and a nonassociated plastic potential. Viscofracture damage was modeled by a viscoelastic Griffith criterion and a pseudo J-integral Paris’s law for crack initiation and propagation, respectively. The VEPF models were implemented in a finite element program by using a weak form partial differential equation modeling technique without the need for programming user-defined material subroutines. Model parameters were derived from fundamental material properties by using dynamic modulus, strength, and repeated load tests. Simulations indicated that the viscoelastic–viscoplastic–viscofracture characteristics were effectively modeled by the VEPF models for asphalt mixtures at different confinements and temperatures. An asphalt mixture under monotonic compressive loads exhibited a sequenced process including a pure viscoelastic deformation stage, a coupled viscoelastic–viscoplastic deformation stage, a viscoelastic–viscoplastic deformation coupled with a viscofracture initiation and a propagation stage, and then a viscoelastic–viscofracture rupture stage with saturated viscoplastic deformation. The asphalt mixture under repeated loads yielded an increasing viscoplastic strain at an increasing rate during the first half of the haversine load, while the increment of the viscoplastic strain (per load cycle) decreased with load cycles. The finite element program, which is based on a partial differential equation, effectively modeled the coupled viscoelastic–viscoplastic–viscofracture behaviors of the asphalt mixtures.

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2

Shi, Qianyu, Hongjun Yu, Xiangyuhan Wang, Kai Huang, and Jian Han. "Phase Field Modeling of Crack Growth with Viscoplasticity." Crystals 13, no. 5 (May 22, 2023): 854. http://dx.doi.org/10.3390/cryst13050854.

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The fracture of viscoplastic materials is a complex process due to its time-dependent and plastic responses. Numerical simulation for fractures plays a significant role in crack prediction and failure analysis. In recent years, the phase field model has become a competitive approach to predict crack growth and has been extended to inelastic materials, such as elasto-plastic, viscoelastic and viscoplastic materials, etc. However, the contribution of inelastic energy to crack growth is seldom studied. For this reason, we implement the fracture phase field model coupled with a viscoplastic constitutive in a finite element framework, in which the elastic energy and inelastic energy are used as crack driving forces. The implicit algorithm for a viscoplastic constitutive is presented; this procedure is suitable for other viscoplastic constitutive relations. The strain rate effect, creep effect, stress relaxation effect and cyclic loading responses are tested using a single-element model with different inelastic energy contributions. A titanium alloy plate specimen and a stainless-steel plate specimen under tension are studied and compared with the experimental observations in the existing literature. The results show that the above typical damage phenomenon and fracture process can be well reproduced. The inelastic energy significantly accelerates the evolution of the phase field of viscoplastic materials. For cyclic loadings, the acceleration effect for low frequency is more significant than for high frequency. The influence of the weight factor of inelastic energy β on the force-displacement curve mainly occurs after reaching the maximum force point. With the increase of β, the force drops faster in the force-displacement curve. The inelastic energy has a slight effect on the crack growth paths.

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3

Chen, Cheng‐lung. "Generalized Viscoplastic Modeling of Debris Flow." Journal of Hydraulic Engineering 114, no. 3 (March 1988): 237–58. http://dx.doi.org/10.1061/(asce)0733-9429(1988)114:3(237).

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4

Cordebois, J. P., and T. Constantin. "Viscoplastic modeling of cutting in turning." Journal of Materials Processing Technology 41, no. 2 (February 1994): 187–200. http://dx.doi.org/10.1016/0924-0136(94)90060-4.

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5

Ekh,, Magnus. "Thermo-Elastic-Viscoplastic Modeling of IN792." Journal of the Mechanical Behavior of Materials 12, no. 6 (December 2001): 359–88. http://dx.doi.org/10.1515/jmbm.2001.12.6.359.

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6

Zhelyazov, Todor, and Sergey Pshenichnov. "Modeling the viscoplastic transient dynamic process." Journal of Physics: Conference Series 2675, no. 1 (December 1, 2023): 012017. http://dx.doi.org/10.1088/1742-6596/2675/1/012017.

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Abstract A hollow viscoelastic right circular cylinder subjected to a time-dependent load is considered. The cylinder is with finite dimensions. A transient load acts upon the inner surface of the cylinder, whereas no loads are applied to outer surfaces. The end surfaces of the cylinder are restrained to move along the cylinder axis. The viscoelastic behaviour of the material is modelled using Boltzmann – Volterra equations. A yield criterion is implemented in the numerical analyses. By assumption, upon reaching the yield surface, the linear viscoelastic model switches to a plastic constitutive relation. The transient dynamic behaviour of the material is simulated for different intensities of the applied load and model parameters.

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7

Kim, Yun Tae, and S. Leroueil. "Modeling the viscoplastic behaviour of clays during consolidation: application to Berthierville clay in both laboratory and field conditions." Canadian Geotechnical Journal 38, no. 3 (June 1, 2001): 484–97. http://dx.doi.org/10.1139/t00-108.

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To analyze the effects of strain rate and viscoplastic strain on consolidation of natural clay, this paper presents a nonlinear viscoplastic model in which viscoplastic behaviour is modeled by a unique effective stress (σ'v) viscous strain (εv) viscous strain rate (ε·v) relationship. The proposed model can consider the effects of strain rate and viscoplastic strain on consolidation, to take into account the difference in strain rate between laboratory and field conditions, and the combined processes of generation and dissipation of pore pressure during consolidation. This model can also predict the behaviour of clay during stepwise loading, constant rate of strain, and relaxation of effective stress. The predicted values using numerical analysis are compared with measured values in laboratory tests and in situ, under an embankment built on soft clay at Berthierville, Quebec. It is possible to estimate the consolidation behaviour of natural clay with reasonable accuracy using the proposed nonlinear viscoplastic model.Key words: consolidation, soft clay, strain rate, viscoplastic, relaxation.

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8

Me´ric, L., and G. Cailletaud. "Single Crystal Modeling for Structural Calculations: Part 2—Finite Element Implementation." Journal of Engineering Materials and Technology 113, no. 1 (January 1, 1991): 171–82. http://dx.doi.org/10.1115/1.2903375.

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This paper is devoted to the implementation in a finite element code of a micro-macro anisotropic viscoplastic model for F.C.C. single crystals derived from the slip theory. It shows elasto-viscoplastic structural calculations of two laboratory specimens: a tubular specimen loaded in torsion and a cylindrical one loaded in tension-compression: various crystallographic orientations are considered in the last case.

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9

Ohno, Nobutada. "Homogenized Elastic-Viscoplastic Behavior of Anisotropic Open-Porous Bodies." Key Engineering Materials 535-536 (January 2013): 12–17. http://dx.doi.org/10.4028/www.scientific.net/kem.535-536.12.

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This lecture presents constitutive modeling of the homogenized elastic-viscoplastic behavior of pore-pressurized anisotropic open-porous bodies. The base solids are assumed to be metallic materials at small strains and rotations. First, by describing micro-macro relations relevant to periodic unit cells of anisotropic open-porous bodies with pore pressure, constitutive features are discussed for the viscoplastic macrostrain rate in steady states. Second, on the basis of the constitutive features found, the viscoplastic macrostrain rate is represented as an anisotropic function of Terzaghi’s effective stress. Third, the resulting viscoplastic equation is used to simulate the homogenized elastic-viscoplastic behavior of an ultrafine plate-fin structure and a thick perforated plate subjected to macroscopic loading in the absence and presence of pore pressure. The corresponding FE homogenization analysis is performed for comparison to validate the developed viscoplastic equation.

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10

Chow, C. L., X. J. Yang, and Edmund Chu. "Viscoplastic Constitutive Modeling of Anisotropic Damage Under Nonproportional Loading." Journal of Engineering Materials and Technology 123, no. 4 (July 24, 2000): 403–8. http://dx.doi.org/10.1115/1.1395575.

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Based on the theory of damage mechanics, a viscoplastic constitutive modeling of anisotropic damage for the prediction of forming limit curve (FLC) is developed. The model takes into account the effect of rotation of principal damage coordinates on the deformation and damage behaviors. With the aid of the damage viscoplastic potential, the damage evolution equations are established. Based on a proposed damage criterion for localized necking, the model is employed to predict the FLC of aluminum 6111-T4 sheet alloy. The predicted results agree well with those determined experimentally.

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11

Yan, Hao, and Caglar Oskay. "MULTI-YIELD SURFACE MODELING OF VISCOPLASTIC MATERIALS." International Journal for Multiscale Computational Engineering 15, no. 2 (2017): 121–42. http://dx.doi.org/10.1615/intjmultcompeng.2017020087.

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12

Saleem, Muhammad. "Microplane modeling of the elasto-viscoplastic constitution." Journal of Research in Science, Engineering and Technology 8, no. 3 (September 29, 2020): 19–25. http://dx.doi.org/10.24200/jrset.vol8iss3pp19-25.

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In this paper, the elasto-viscoplastic Constitutive model is applied within the Microplane framework. The use of strain-dependent models allows measuring the effect of loading speed on the soil. Additionally, rate-based behavior models in simulation modeling avoid the uniqueness of the ruling equation. The proposed model can plot the stress-strain history on plates with different angles inside the soil. Therefore, valuable information can be obtained about the failure plane. Using the Microplane framework enables this hybrid behavior model to predict local strain.

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13

Wenk, H. R., G. Canova, A. Molinari, and U. F. Kocks. "Viscoplastic modeling of texture development in quartzite." Journal of Geophysical Research 94, B12 (1989): 17895. http://dx.doi.org/10.1029/jb094ib12p17895.

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14

SANOMURA, Yukio, and Mamoru MIZUNO. "425 Modeling of Viscoplastic Behavior for Polymers." Proceedings of the 1992 Annual Meeting of JSME/MMD 2001 (2001): 403–4. http://dx.doi.org/10.1299/jsmezairiki.2001.0_403.

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15

Portelette, Luc, Jonathan Amodeo, Ronan Madec, Julian Soulacroix, Thomas Helfer, and Bruno Michel. "Crystal viscoplastic modeling of UO2 single crystal." Journal of Nuclear Materials 510 (November 2018): 635–43. http://dx.doi.org/10.1016/j.jnucmat.2018.06.035.

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16

Tscharnuter, Daniel, Michael Jerabek, Zoltan Major, and Gerald Pinter. "Uniaxial nonlinear viscoelastic viscoplastic modeling of polypropylene." Mechanics of Time-Dependent Materials 16, no. 3 (November 8, 2011): 275–86. http://dx.doi.org/10.1007/s11043-011-9158-5.

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17

Kang, Guo Zheng, Qian Hua Kan, Juan Zhang, and Yu Jie Liu. "Constitutive Modeling for Uniaxial Time-Dependent Ratcheting of SS304 Stainless Steel." Key Engineering Materials 340-341 (June 2007): 817–22. http://dx.doi.org/10.4028/www.scientific.net/kem.340-341.817.

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Based on the experimental results of uniaxial time-dependent ratcheting behavior of SS304 stainless steel at room temperature and 973K, three kinds of time-dependent constitutive models were employed to describe such time-dependent ratcheting by using the Ohno-Abdel-Karim kinematic hardening rule, i.e., a unified viscoplastic model, a creep-plasticity superposition model and a creep-viscoplasticity superposition model. The capabilities of such models to describe the time-dependent ratcheting were discussed by comparing with the corresponding experimental results. It is shown that the unified viscoplastic model cannot provide reasonable simulation to the time-dependent ratcheting, especially to those with certain peak/valley stress hold and at 973K; the proposed creep-plasticity superposition model is reasonable when the creep is a dominant factor of the deformation, however, it cannot provide a reasonable description when the creep is weak; the creep-viscoplastic superposition model is reasonable not only at room temperature but also at high temperature.

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18

Wang, Jun, Yingjie Xu, Weihong Zhang, and Xuanchang Ren. "Thermomechanical Modeling of Amorphous Glassy Polymer Undergoing Large Viscoplastic Deformation: 3-Points Bending and Gas-Blow Forming." Polymers 11, no. 4 (April 10, 2019): 654. http://dx.doi.org/10.3390/polym11040654.

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Polymeric products are mostly manufactured by warm mechanical processes, wherein large viscoplastic deformation and the thermomechanical coupling effect are highly involved. To capture such intricate behavior of the amorphous glassy polymers, this paper develops a finite-strain and thermomechanically-coupled constitutive model, which is based on a tripartite decomposition of the deformation gradient into elastic, viscoplastic, and thermal components. Constitutive equations are formulated with respect to the spatial configuration in terms of the Eulerian Hencky strain rate and the Jaumann rate of Kirchhoff stress. Hyperelasticity, the viscoplastic flow rule, strain softening and hardening, the criterion for viscoplasticity, and temperature evolution are derived within the finite-strain framework. Experimental data obtained in uniaxial tensile tests and three-point bending tests of polycarbonates are used to validate the numerical efficiency and stability of the model. Finally, the proposed model is used to simulate the gas-blow forming process of a polycarbonate sheet. Simulation results demonstrate well the capability of the model to represent large viscoplastic deformation and the thermomechanical coupling effect of amorphous glassy polymers.

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19

Boukpeti, N., Z. Mróz, and A. Drescher. "Modeling rate effects in undrained loading of sands." Canadian Geotechnical Journal 41, no. 2 (April 1, 2004): 342–50. http://dx.doi.org/10.1139/t03-077.

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The present technical note extends the previous work by the authors concerned with formulation of a constitutive model of elastoplastic response of sands (Superior sand model) and its application to the analyses of static liquefaction and instability states in triaxial compression and extension occurring in the undrained deformation of saturated granular materials. To account for time-dependent behavior and strain rate effects, an elastic, viscoplastic extension of the model to triaxial compression is proposed. The constitutive equations derived are used to predict the model response in different loading histories. In particular, strain rate and stress rate effects and undrained creep deformation for specified stress components are discussed in detail. Comparison of model predictions with available experimental data also is provided.Key words: saturated sand, constitutive model, elasticviscoplastic behavior.

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20

Ikenoya, Kazutaka, Noriko Takano, Nobutada Ohno, and Naoto Kasahara. "Homogenized Elastic-Viscoplastic Behavior of Thick Perforated Plates with Pore Pressure." Key Engineering Materials 535-536 (January 2013): 401–4. http://dx.doi.org/10.4028/www.scientific.net/kem.535-536.401.

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The homogenized elastic-viscoplastic behavior of thick perforated plates with pore pressure is investigated for macro-material modeling. To this end, the homogenized behavior is analyzed using a FE homogenization method of periodic solids. It is assumed that the base metal of perforated plates exhibits the elastic-viscoplastic behavior based on Hooke’s law and Norton’s power-law. The resulting homogenized behavior is simulated using an elastic-viscoplastic macro-material model developed for pore-pressurized anisotropic open-porous bodies. It is shown that the macro-material model suitably represents the macro-anisotropy and macro-volumetric compressibility that are revealed by the FE homogenization analysis in the presence and absence of pore pressure.

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21

Heffes, M. J., and H. F. Nied. "Analysis of Interfacial Cracking in Flip Chip Packages With Viscoplastic Solder Deformation." Journal of Electronic Packaging 126, no. 1 (March 1, 2004): 135–41. http://dx.doi.org/10.1115/1.1649242.

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This paper examines the modeling of viscoplastic solder behavior in the vicinity of interfacial cracking for flip chip semiconductor packages. Of particular interest is the relationship between viscoplastic deformation in the solder bumps and any possible interface cracking between the epoxy underfill layer and the silicon die. A 3-D finite element code, developed specifically for the study of interfacial fracture problems, was modified to study how viscoplastic solder material properties would affect fracture parameters such as strain energy release rate and phase angle for nearby interfacial cracks. Simplified two-layer periodic symmetry models were developed to investigate these interactions. Comparison of flip chip results using different solder material models showed that viscoplastic models yielded lower stress and fracture parameters than time independent elastic-plastic simulations. It was also found that adding second level attachment greatly increases the magnitude of the solder strain and fracture parameters. As expected, the viscoplastic and temperature dependent elastic-plastic results exhibited greater similarity to each other than results based solely on linear elastic properties.

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22

Shelukhin, V. V., and A. E. Kontorovich. "Behavior of Viscoplastic Rocks near Fractures: Mathematical Modeling." Doklady Physics 64, no. 12 (December 2019): 461–65. http://dx.doi.org/10.1134/s1028335819120036.

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23

Chow, C. L., and Yong Wei. "Damage‐coupled viscoplastic constitutive modeling for solder materials." Journal of the Chinese Institute of Engineers 27, no. 6 (September 2004): 835–40. http://dx.doi.org/10.1080/02533839.2004.9670934.

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24

Hütter, Markus, and Theo A. Tervoort. "Statistical-mechanics based modeling of anisotropic viscoplastic deformation." Mechanics of Materials 80 (January 2015): 37–51. http://dx.doi.org/10.1016/j.mechmat.2014.09.007.

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25

de Souza Mendes, Paulo R., and Roney L. Thompson. "A critical overview of elasto-viscoplastic thixotropic modeling." Journal of Non-Newtonian Fluid Mechanics 187-188 (November 2012): 8–15. http://dx.doi.org/10.1016/j.jnnfm.2012.08.006.

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26

Xie, Chiyu, Jianying Zhang, Volfango Bertola, and Moran Wang. "Lattice Boltzmann modeling for multiphase viscoplastic fluid flow." Journal of Non-Newtonian Fluid Mechanics 234 (August 2016): 118–28. http://dx.doi.org/10.1016/j.jnnfm.2016.05.003.

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27

Lee, S. R., and J. L. Ding. "Viscoplastic constitutive modeling with one scalar state variable." International Journal of Plasticity 5, no. 6 (January 1989): 617–37. http://dx.doi.org/10.1016/0749-6419(89)90004-1.

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28

Muravleva, E., I. Oseledets, and D. Koroteev. "Application of machine learning to viscoplastic flow modeling." Physics of Fluids 30, no. 10 (October 2018): 103102. http://dx.doi.org/10.1063/1.5058127.

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29

Mahmoud, Fatin F., Ahmed G. El-Shafei, and Mohamed A. Attia. "Modeling of nonlinear viscoelastic–viscoplastic frictional contact problems." International Journal of Engineering Science 74 (January 2014): 103–17. http://dx.doi.org/10.1016/j.ijengsci.2013.09.001.

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30

Spathis, G., and E. Kontou. "Modeling of viscoplastic cyclic loading behavior of polymers." Mechanics of Time-Dependent Materials 19, no. 3 (July 21, 2015): 439–53. http://dx.doi.org/10.1007/s11043-015-9272-x.

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31

Levenberg, Eyal. "Viscoplastic response and modeling of asphalt-aggregate mixes." Materials and Structures 42, no. 8 (November 8, 2008): 1139–51. http://dx.doi.org/10.1617/s11527-008-9449-8.

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32

Huang, X. Y., C. Y. Liu, and H. Q. Gong. "A Viscoplastic Flow Modeling of Ceramic Tape Casting." Materials and Manufacturing Processes 12, no. 5 (September 1997): 935–43. http://dx.doi.org/10.1080/10426919708935195.

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33

Cao, Bangshu, and Gregory A. Campbell. "Viscoplastic-elastic modeling of tubular blown film processing." AIChE Journal 36, no. 3 (March 1990): 420–30. http://dx.doi.org/10.1002/aic.690360311.

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34

Al-Baldawi, Ammar, Lothar Schreiber, and Olaf Wünsch. "Hysteresis Behaviour of 51CrV4 and Viscoplastic Modeling Aspects." PAMM 11, no. 1 (December 2011): 349–50. http://dx.doi.org/10.1002/pamm.201110166.

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35

Kendri, Dalila. "ANALYSIS OF VISCOPLASTIC CONTACT PROBLEM." Advances in Mathematics: Scientific Journal 11, no. 9 (September 19, 2022): 759–75. http://dx.doi.org/10.37418/amsj.11.9.2.

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In this paper, we analyze a quasistatic problem modeling frictional contact between a viscoplastic body and an obstacle, the so called foundation. The material constitutive relation is assumed to be non-linear. The boundary conditions of contact and friction are modeled respectively by the \textit{Signorini} conditions and the generalized Coulomb's non-local law. We derive a variational formulation for the problem and prove the existence of its unique weak solution. The proof use, essentially, classical arguments of compactness, variational inequalities and Banach’s fixed point theorem.

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36

Sasaki, Katsuhiko, Ken-ichi Ohguchi, and Hiromasa Ishikawa. "Viscoplastic Deformation of 40 Pb/60Sn Solder Alloys—Experiments and Constitutive Modeling." Journal of Electronic Packaging 123, no. 4 (August 24, 1999): 379–87. http://dx.doi.org/10.1115/1.1371927.

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This study first proposes a simple constitutive model for viscoplasticity, which includes the elastic, plastic, and creep strains independently. The plastic strain is evaluated by the flow rule employing back stresses evolved with a Ziegler type of hardening rule. The creep strain is evaluated by the modified Norton’s law. The applicability of this constitutive model is evaluated with pure tensile tests, creep tests and cyclic tension-compression loading tests, to demonstrate the progress of viscoplastic deformation of 40Pb/60Sn solder alloys. The tests were conducted over both several temperature ranges and strain rates. As a result, it was found that the material constants used in the constitutive model could be determined by simple tests such as pure tensile and cyclic tension-compression loading tests. The simulation by the constitutive model explains accurately the viscoplastic deformation of the 40Pb/60Sn solder alloys.

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37

Wang, S., A. Makinouchi, M. Okamoto, T. Kotaka, M. Maeshima, N. Ibe, and T. Nakagawa. "Viscoplastic Material Modeling for the Stretch Blow Molding Simulation." International Polymer Processing 15, no. 2 (April 1, 2000): 166–75. http://dx.doi.org/10.1515/ipp-2000-0008.

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Abstract In this paper, the viscoplastic material model of PET (polyethylene terephthalate), which is intended to be used in the FEM (finite element method) simulation of stretch blow molding process, has been studied. Material tests of PET were performed with the constant strain rates varying from 0.01 to 1 (1/s), at temperatures ranging from 90 to 150 °C, based on the obtained data a two-stage model was proposed. The proposed model could precisely take into account the effects of strain hardening, strain rate sensitivity, variation of the hardening index, and temperature dependency. This model has been implemented into the nonlinear finite element code PBLOW3D, which is developed in the Riken, and its performance in the stretch blow molding simulation has been studied. It has been demonstrated that the proposed material model provides significant improvements, compared with two existing material models, in the simulation of the blow molding process of PET bottles.

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38

Yankovskii, A. P. "Modeling of Viscoelastic-Viscoplastic Behavior of Flexible Reinforced Plates." Mechanics of Solids 56, no. 5 (September 2021): 631–45. http://dx.doi.org/10.3103/s0025654421050198.

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39

Wang, S., A. Makinouchi, M. Okamoto, T. Kotaka, M. Maeshima, N. Ibe, and T. Nakagawa. "Viscoplastic Material Modeling for the Stretch Blow Molding Simulation." International Polymer Processing 15, no. 2 (May 2000): 166–75. http://dx.doi.org/10.3139/217.1582.

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40

Darabi, Masoud K., Rashid K. Abu Al-Rub, Eyad A. Masad, and Dallas N. Little. "Constitutive Modeling of Cyclic Viscoplastic Response of Asphalt Concrete." Transportation Research Record: Journal of the Transportation Research Board 2373, no. 1 (January 2013): 22–33. http://dx.doi.org/10.3141/2373-03.

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41

Sexton, B. G., and B. A. McCabe. "Modeling stone column installation in an elasto-viscoplastic soil." International Journal of Geotechnical Engineering 9, no. 5 (December 31, 2014): 500–512. http://dx.doi.org/10.1179/1939787914y.0000000090.

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42

YOSHIDA, Tetsuya. "Viscoplastic Behavior of Highly Ductile Acrylic Adhesive andits Modeling." Journal of The Adhesion Society of Japan 54, no. 11 (November 1, 2018): 416–21. http://dx.doi.org/10.11618/adhesion.54.416.

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43

Lu, Zixing, and Qiang Xu. "Cohesive zone modeling for viscoplastic behavior at finite deformations." Composites Science and Technology 74 (January 2013): 173–78. http://dx.doi.org/10.1016/j.compscitech.2012.11.009.

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44

Haupt, P., and A. Lion. "Experimental identification and mathematical modeling of viscoplastic material behavior." Continuum Mechanics and Thermodynamics 7, no. 1 (March 1995): 73–96. http://dx.doi.org/10.1007/bf01175770.

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45

dos Santos, T., A. Brezolin, R. Rossi, and J. A. Rodríguez-Martínez. "Modeling dynamic spherical cavity expansion in elasto-viscoplastic media." Acta Mechanica 231, no. 6 (April 2, 2020): 2381–97. http://dx.doi.org/10.1007/s00707-020-02646-2.

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46

Zeng, Tao, Jian-Fu Shao, and Wei-Ya Xu. "Micromechanical modeling of the elasto-viscoplastic behavior of granite." Comptes Rendus Mécanique 343, no. 2 (February 2015): 121–32. http://dx.doi.org/10.1016/j.crme.2014.11.005.

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47

Cazacu, Oana, and Ioan R. Ionescu. "Augmented Lagrangian method for Eulerian modeling of viscoplastic crystals." Computer Methods in Applied Mechanics and Engineering 199, no. 9-12 (January 2010): 689–99. http://dx.doi.org/10.1016/j.cma.2009.10.018.

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48

Haupt, P., and A. Lion. "Experimental identification and mathematical modeling of viscoplastic material behavior." Continuum Mechanics and Thermodynamics 7, no. 1 (February 1, 1995): 73–96. http://dx.doi.org/10.1007/s001610050005.

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49

Mahnken, R., and A. Shaban. "Finite elasto-viscoplastic modeling of polymers including asymmetric effects." Archive of Applied Mechanics 83, no. 1 (May 12, 2012): 53–71. http://dx.doi.org/10.1007/s00419-012-0632-6.

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