Fully anisotropic finite strain viscoelasticity based on a reverse multiplicative decomposition and logarithmic strains

基于Green-Naghdi运动学假设和广义应变的有限粘弹性建模

Modeling finite viscoelasticity based on the Green-Naghdi kinematic assumption and generalized strains

本文提出一种基于Green-Naghdi运动学假设和广义应变的有限粘弹性建模框架，避免了争议性的中间构型，通过不同应变分离非弹性变形，构建了可校准的本构理论，并经实验和有限元分析验证了其有效性与优势。

Simulation of fiber-reinforced viscoelastic structures subjected to finite strains: multiplicative approach

The study is devoted to the geometrically nonlinear simulation of fiber-reinforced composite structures. The applicability of the multiplicative approach to the simulation of viscoelastic properties of a composite material is assessed, certain improvements are suggested. For a greater accuracy in applications involving local compressive fiber buckling, a new family of hyperelastic potentials is introduced. This family allows us to account for the variable critical compressive stress, which depends on the fiber-matrix interaction. For the simulation of viscoelasticity, the well-established Sido…

数字材料超弹性与粘弹性的成分依赖本构模型的数据驱动发现

Data-Driven Discovery of Composition-Dependent Constitutive Models for Hyperelasticity and Viscoelasticity of Digital Materials

该研究提出数据驱动的多材料本构建模框架，推广Bergström-Boyce公式，用于数字材料超弹性与粘弹性建模，可捕获依赖成分与速率的力学行为且保证热力学一致性。

Thermodynamically consistent nonlinear viscoplastic formulation with well-conditioned recovery of the inviscid solution: Theory and implicit integration algorithm with exact solution for the linear case

In this work, a consistent viscoplasticity formulation is derived from thermodynamical principles and employing the concept of continuum elastic corrector rate. The proposed model is developed based on the principle of maximum viscoplastic dissipation for determining the flow direction. The model uses both the equivalent viscoplastic strain and its rate as state variables. Power balance and energy balance give, respectively, separate evolution equations for the equivalent viscoplastic strain rate and the viscoplastic strain, the former written in terms of inviscid rates. Several key points dis…