3 papers
math.NA2025
Modeling finite viscoelasticity based on the Green-Naghdi kinematic assumption and generalized strains
Ju Liu, Chongran Zhao, Jiashen Guan
We propose a modeling framework for finite viscoelasticity, inspired by the kinematic assumption made by Green and Naghdi in plasticity. This approach fundamentally differs from th…
math.NA2024
A continuum and computational framework for viscoelastodynamics: III. A nonlinear theory
Ju Liu, Jiashen Guan, Chongran Zhao +1
We continue our investigation of viscoelasticity by extending the Holzapfel-Simo approach discussed in Part I to the fully nonlinear regime. By scrutinizing the relaxation property…
math.NA2023
A continuum and computational framework for viscoelastodynamics: II. Strain-driven and energy-momentum consistent schemes
Ju Liu, Jiashen Guan
We continue our investigation of finite deformation linear viscoelastodynamics by focusing on constructing accurate and reliable numerical schemes. The concrete thermomechanical fo…