A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage

被引：0
|
作者：
Caponi, Maicol [1 ]
Crismale, Vito [2 ]
机构：
[1] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, Via Vetoio 1, I-67100 Laquila, Italy
[2] Sapienza Univ Roma, Dipartimento Matemat Guido Castelnuovo, Piazzale Aldo Moro 2, I-00185 Rome, Italy
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2025年 / 31卷
关键词：
Variational models; quasistatic evolution; energetic solutions; vanishing-viscosity; Drucker-Prager elasto-plasticity; gradient damage models; complete damage; strain gradient plasticity; QUASI-STATIC EVOLUTION; VANISHING VISCOSITY APPROACH; BV SOLUTIONS; FORMULATION; LIMIT;
D O I：
10.1051/cocv/2025004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study a strain gradient-enhanced version of a model for geomaterials under compression by Marigo and Kazymyrenko (2019) coupling damage and small-strain associative plasticity. We prove that the jumps in time of the plastic variable may happen only along jumps of the damage variable. Moreover, we perform a vanishing-viscosity analysis showing existence of Balanced Viscosity quasistatic solutions & agrave; la Mielke-Rossi-Savar & eacute;.
引用
收藏
页数：49
相关论文
共 50 条
  • [1] Computational rate-independent strain gradient crystal plasticity
    Nielsen, K. L.
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2021, 148
  • [2] Global Existence for Rate-Independent Gradient Plasticity at Finite Strain
    Mainik, Andreas
    Mielke, Alexander
    JOURNAL OF NONLINEAR SCIENCE, 2009, 19 (03) : 221 - 248
  • [3] Global Existence for Rate-Independent Gradient Plasticity at Finite Strain
    Andreas Mainik
    Alexander Mielke
    Journal of Nonlinear Science, 2009, 19 : 221 - 248
  • [4] Hardening and strengthening behavior in rate-independent strain gradient crystal plasticity
    Nellemann, C.
    Niordson, C. F.
    Nielsen, K. L.
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2018, 67 : 157 - 168
  • [5] Attaining the rate-independent limit of a rate-dependent strain gradient plasticity theory
    El-Naaman, S. A.
    Nielsen, K. L.
    Niordson, C. F.
    EXTREME MECHANICS LETTERS, 2016, 9 : 40 - 44
  • [6] AN AXIOMATIC MODEL OF RATE-INDEPENDENT PLASTICITY
    LUBLINER, J
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1980, 16 (08) : 709 - 713
  • [7] A thermomechanical damage approach to constitutive models for rate-independent dissipative geomaterials
    Xuan Guo
    Chenggang Zhao
    Mengshu Wang
    Dajun Yuan
    Acta Mechanica Solida Sinica, 2008, 21 : 73 - 84
  • [8] A THERMOMECHANICAL DAMAGE APPROACH TO CONSTITUTIVE MODELS FOR RATE-INDEPENDENT DISSIPATIVE GEOMATERIALS
    Xuan Guo~(1*) Chenggang Zhao~2 Dajun Yuan~1 Mengshu Wang~1 1 Tunnel and Underground of Engineering Experienmental Research Center
    Acta Mechanica Solida Sinica, 2008, (01) : 73 - 84
  • [9] A thermomechanical damage approach to constitutive models for rate-independent dissipative geomaterials
    Guo, Xuan
    Zhao, Chenggang
    Yuan, Dajun
    Wang, Mengshu
    ACTA MECHANICA SOLIDA SINICA, 2008, 21 (01) : 73 - 84
  • [10] SIMPLE RATE-INDEPENDENT MODEL FOR DAMAGE
    GURTIN, ME
    FRANCIS, EC
    JOURNAL OF SPACECRAFT AND ROCKETS, 1981, 18 (03) : 285 - 286
12345