Quasi-Static Brittle Damage Evolution in Elastic Materials with Multiple Damaged States

被引：0
|
作者：
Isaac Vikram Chenchiah
Christopher J. Larsen
机构：
[1] University of Bristol,School of Mathematics
[2] University Walk,Department of Mathematical Sciences
[3] Worcester Polytechnic Institute,undefined
来源：
Archive for Rational Mechanics and Analysis | 2015年 / 215卷
关键词：
Elastic Modulus; Damage Evolution; Damage Cost; Threshold Formulation; Worcester Polytechnic Institute;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present energetic and strain-threshold models for the quasi-static evolution of brutal brittle damage for geometrically-linear elastic materials. By allowing for anisotropic elastic moduli and multiple damaged states we present the issues for the first time in a truly elastic setting, and show that the threshold methods developed in (Garroni, A., Larsen, C. J., Threshold-based quasi-static brittle damage evolution, Archive for Rational Mechanics and Analysis 194 (2), 585–609, 2009) extend naturally to elastic materials with non-interacting damage. We show the existence of solutions and that energetic evolutions are also threshold evolutions.
引用
收藏
页码：831 / 866
页数：35
相关论文
共 50 条
  • [31] Quasi-static evolution of polyhedral crystals
    Gorka, Przemyslaw
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 9 (02): : 309 - 320
  • [32] QUASI-STATIC SOLID PARTICLE DAMAGE IN BRITTLE SOLIDS .1. OBSERVATIONS, ANALYSIS AND IMPLICATIONS
    EVANS, AG
    WILSHAW, TR
    ACTA METALLURGICA, 1976, 24 (10): : 939 - 956
  • [33] Quasi-Static Manipulation of a Planar Elastic Rod using Multiple Robotic Grippers
    Mukadam, Mustafa
    Borum, Andy
    Bretl, Timothy
    2014 IEEE/RSJ INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS (IROS 2014), 2014, : 55 - 60
  • [34] NONLOCAL THEORY OF QUASI-STATIC ELASTIC DIELECTRICS
    DEMIRAY, H
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1972, 10 (03) : 285 - &
  • [35] QUASI-STATIC PROBLEM OF CRACK IN AN ELASTIC MEDIUM
    MATCZYNSKI, M
    ARCHIWUM MECHANIKI STOSOWANEJ, 1970, 22 (05): : 607 - +
  • [36] Gradual damage evolution and propagation in quasi-isotropic CFRC under quasi-static loading
    Tessema, Addis
    Ravindran, Suraj
    Kidane, Addis
    COMPOSITE STRUCTURES, 2018, 185 : 186 - 192
  • [37] Quasi-static damage evolution and homogenization: A case study of non-commutability
    Braides, Andrea
    Cassano, Biagio
    Garroni, Adriana
    Sarrocco, David
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2016, 33 (02): : 309 - 328
  • [38] A quasi-static algorithm that includes effects of characteristic time scales for simulating failures in brittle materials
    Liu, J. X.
    El Sayed, T.
    INTERNATIONAL JOURNAL OF DAMAGE MECHANICS, 2014, 23 (01) : 83 - 103
  • [39] Numerical implementation of the variational formulation for quasi-static brittle fracture
    Bourdin, Blaise
    INTERFACES AND FREE BOUNDARIES, 2007, 9 (03) : 411 - 430
  • [40] FATIGUE LIMIT: IS THERE A LINK TO THE QUASI-STATIC DAMAGE?
    Lomov, Stepan V.
    Carvelli, Valter
    Jain, Atul
    ICCM 21: 21ST INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS (ICCM-21), 2017,
12345