A mathematical model for fitting and predicting relaxation modulus and simulating viscoelastic responses.

ABSTRACT: We propose a mathematical model for relaxation modulus and its numerical solution. The model formula is extended from sigmoidal function considering nonlinear strain hardening. Its physical meaning can be interpreted by a macroscale elastic network-viscous medium model with only five model parameters in a simpler format than the molecular-chain-based polymer models to represent general solid materials. We also developed a finite-element (FE) framework and robust numerical algorithm to implement this model for simulating responses under both static and dynamic loadings. We validated the model through both experimental data and numerical simulations on a variety of materials including asphalt concrete, polymer, spider silk, hydrogel, agar and bone. By satisfying the second law of thermodynam

SUBMITTER: Xu Q 

PROVIDER: S-EPMC5990701 | biostudies-literature | 2018 May

REPOSITORIES: biostudies-literature