4.5 Article

Simple and Unified Way of Elasto-Plastic Dynamic Analysis

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SPRINGER HEIDELBERG
DOI: 10.1007/s42417-023-01109-x

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Elasto-plastic analysis; Non-linear dynamics; Linear acceleration step-by-step method; Isotropic hardening; Kinematic hardening; Elastic perfectly plastic

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This article attempts to numerically evaluate the elasto-plastic material models by phenomenological modeling. The main purpose is to aid research-minded students and instructors in studying the subject and encourage the development of unique material models.
IntroductionMost standard texts on structural dynamics deal with elasto-plastic dynamic response considering only the simplest model, namely, the elastic perfectly plastic material model.MethodIn the present article, a numerical evaluation algorithm is attempted by phenomenologically modeling the general elasto-plastic models, including strain hardening models, namely, kinematic hardening and isotropic hardening, in a coherent manner. The models are presented in a simple manner yet conforming to the unified theory of plasticity.Concluding RemarksThe main purpose of the article is to aid research-minded students and instructors in the study of the subject and encourage the development of more unique material models in an incremental fashion and integrate them into dynamic analysis platforms. Secondly, a tutorial-like approach is adopted for students to implement the material models in any dynamic problem. By modifying the easily modifiable supplied code, students and instructors can themselves try out their models or load cases and hence enhance the overall teaching-learning experience.

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