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VGU RESEARCH REPOSITORY


Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/2181
Title: A comparison of non linear material models for small and large deformations
Authors: Vu Thi Kieu Yen 
Keywords: Nonlinear material models;Small deformation;Large deformation;Material modeling
Issue Date: 2020
Abstract: 
This thesis presents a thorough comparison of nonlinear viscoelastic models for small and large deformations. In other words, the mechanical behavior of viscoelastic models captures various phenomena such as hysteresis, creep, and relaxation in both one- and three-dimensional cases under small strain conditions, using Boltzmann superposition to obtain numerical solutions.

In addition, hyperelastic constitutive equations are commonly used to describe material behavior and are generally expressed in terms of strain energy density functions based on reduced invariants. The combination of continuum mechanics and the concept of internal variables is employed to formulate the Helmholtz free energy function Ψ. This approach utilizes the multiplicative decomposition of the deformation gradient to derive constitutive equations applicable to large deformations.

The objective of this study is to outline the fundamental mathematical structure of this important class of constitutive models and to discuss their implementation in detail. The study of viscoelasticity is also significant in biomechanics, as many biomaterials exhibit viscoelastic behavior.
URI(1): https://epub.vgu.edu.vn/handle/dlibvgu/2181
Rights: Attribution-NonCommercial 4.0 International
Appears in Collections:Computational Engineering (CompEng)

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