Formulation and computational aspects of plasticity and damage models with application to quasi-brittle materials Page: 3 of 120
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Printed September 1995
Formulation and Computational Aspects of Plasticity
And Damage Models With Application To
Zhen Chen and Howard L. Schreyer
New Mexico Engineering Research Institute
University of New Mexico
Albuquerque, NM 87131
The response of underground structures and transportation facilities under various external
loadings and environments is critical for human safety as well as environmental protection. Since
quasi-brittle materials such as concrete and rock are commonly used for underground construction,
the constitutive modeling of these engineering materials, including post-limit behaviors, is one of
the most important aspects in safety assessment.
From experimental, theoretical, and computational points of view, this report considers the
constitutive modeling of quasi-brittle materials in general and concentrates on concrete in particular.
Based on the internal variable theory of thermodynamics, the general formulations of plasticity and
damage models are given to simulate two distinct modes of microstructural changes, inelastic flow
and degradation of material strength and stiffness, that identify the phenomenological nonlinear
behaviors of quasi-brittle materials. The computational aspects of plasticity and damage models are
explored with respect to their effects on structural analyses. Specific constitutive models are then
developed in a systematic manner according to the degree of completeness. A comprehensive
literature survey is made to provide the up-to-date information on prediction of structural failures,
which can serve as a reference for future research.
* Work performed under Contract No. 88101-02 for Performance Assessment Division (6342),
Sandia National Laboratories
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Chen, Z. & Schreyer, H.L. Formulation and computational aspects of plasticity and damage models with application to quasi-brittle materials, report, September 1, 1995; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc619508/m1/3/: accessed August 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.