“…In nonlinear material problems, a large amount of computational time and cost is required because of the complex calculations involved in stress updates. To overcome this obstacle, a novel numerical scheme, namely, the consistent tangent modulus (CTM) method, was proposed by researchers [17][18][19][20], which was successfully adopted for isotropic and anisotropic constitutive-damage models [21][22][23][24][25]. Therefore, in the present study, the CTM method was employed to describe the temperature-and strain-rate-dependent nonlinear material behavior of RPUF.…”
Section: Formulation Of Consistent Tangent Modulusmentioning
“…In nonlinear material problems, a large amount of computational time and cost is required because of the complex calculations involved in stress updates. To overcome this obstacle, a novel numerical scheme, namely, the consistent tangent modulus (CTM) method, was proposed by researchers [17][18][19][20], which was successfully adopted for isotropic and anisotropic constitutive-damage models [21][22][23][24][25]. Therefore, in the present study, the CTM method was employed to describe the temperature-and strain-rate-dependent nonlinear material behavior of RPUF.…”
Section: Formulation Of Consistent Tangent Modulusmentioning
“…The algorithmic tangential stiffness (ATS) method was proposed to reduce the computational time and cost, and it has been successfully applied to isotropic elasto-viscoplastic damage models. [17][18][19] In the present study, the ATS method was also applied to the proposed anisotropic elasto-viscoplastic damage model to describe the material nonlinear behavior and damage growth of RPUF.…”
Section: Fe Formulation and Computerization Derivation Of Algorithmic Tangential Stiffness Tensormentioning
confidence: 99%
“…UMAT is one of the most commonly used material cards for material nonlinear and damage analysis, and the authors have already developed a number of UMATs to demonstrate material nonlinearities such as the second-hardening problem of austenitic stainless steel 17,18 and the hardening-softening coupling problem of adhesively bonded joints. 19 In the present study, the developed UMAT was extended as a fourth-order tensor system that describes not only the anisotropic material behavior but also the damage growth of the initially anisotropic materials.…”
Section: Implicit Formulation Of Anisotropic Elasto-viscoplastic Damage Modelmentioning
confidence: 99%
“…To overcome these problems, a new type of anisotropic elasto-viscoplastic damage model that does not depend on the yield/damage surfaces and loading paths was proposed by Bodner et al [12][13][14][15] In this model, the inelastic material behavior is derived from the initial, saturated, and fully annealed hardening and softening parameters, which are functions of the plastic work and damage variables. Based on these material parameters, the material nonlinear behavior and defects of some materials such as austenitic stainless steel [16][17][18] and adhesively bonded joints 19 have been successfully described numerically and computationally.…”
The aim of the present study was to propose a unified anisotropic elasto-viscoplastic damage model and computational analysis method for predicting the damage growth and material behavior of initially anisotropic glass-fiber-reinforced polyurethane foam (RPUF). A plasticity damage mechanism-based mechanical model with no yield surface is introduced. To consider the microcrack closure effect according to different loading directions, two types of elasto-viscoplastic damage models were developed. The developed models were transformed into the implicit form and implemented in an ABAQUS user-defined material subroutine for the application of finite elements. Finally, the simulation results were compared with a series of tensile and compressive test results on RPUF to validate the proposed model and computation.
“…Lee et al[23] employed the Gurson-Tvergaard void growth model to identify the debonding failure problem of adhesively bonded joints. Kim et al[24,25], Lee et al[26] and Kim et al[27] used the isotropic Bodner-Chan damage model to describe the crack propagation problems as well as the damage-induced viscoplastic behavior of…”
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