Anisotropic Strain Rate Sensitive and Continuum Damage Coupled Plasticity Model: An Application for Magnesium A Z31B

Finite deformation;Strain rate effect;Mg AZ31B;CDM;Lightweighting;Implicit time integration;Continuum damage mechanics;Automotive engineering;Mechanical engineering;Manufacturing;Mechanical Engineering, College of Engineering & Computer Science

Kassar, SariJayaraman, Tanjore V. ;

University of Michigan

关键词: Finite deformation;    Strain rate effect;    Mg AZ31B;    CDM;    Lightweighting;    Implicit time integration;    Continuum damage mechanics;    Automotive engineering;    Mechanical engineering;    Manufacturing;    Mechanical Engineering, College of Engineering & Computer Science;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/143183/Kassar_Sari_Thesis_Apr_19.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

In this work, an anisotropic and time-dependent damage-coupled plasticity model is written under finite strain formulation to describe the mechanical behavior of ductile materials. The model is formulated in arbitrary coordinate space to accommodate simulation of proportional and non-proportional 3D loadings. A phenomenological continuum damage mechanics approach is suggested to model the material mechanicalbehavior and anisotropic damage beyond the post-necking region up to fracture. The developed mathematical model scheme captures the strain rate effect on the material’smechanical response and better approximates the yield stress, ultimate tensile strengthand the strain to fracture. This thesis also presents an implicit time integration method forthe anisotropic time-dependent model. Magnesium alloys are the lightest structural metalsand therefore are potential candidates for use in stamped automotive panels. Thus, the prediction capability of the model is validated by comparing the numerical predictions tothe uniaxial tensile experiments of TRC sheets of Mg AZ31B Alloy. The comparisons between the numerical predictions and the experimental results show fair agreement over a multitude of strain rates and temperatures.