Models for Dynamic Fracture Based on Griffith's Criterion

被引:30
作者
Larsen, Christopher J. [1 ]
机构
[1] Worcester Polytech Inst, Dept Math Sci, Worcester, MA 01609 USA
来源
IUTAM SYMPOSIUM ON VARIATIONAL CONCEPTS WITH APPLICATIONS TO THE MECHANICS OF MATERIALS | 2010年 / 21卷
关键词
QUASI-STATIC EVOLUTION; APPROXIMATION; EXISTENCE; GROWTH;
D O I
10.1007/978-90-481-9195-6_10
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
There has been much recent progress in extending Griffith's criterion for crack growth into mathematical models for quasi-static crack evolution that are well-posed, in the sense that there exist solutions that can be numerically approximated. However, mathematical progress toward dynamic fracture (crack growth consistent with Griffith's criterion, together with elastodynamics) has been more meager. We describe some recent results on a phase-field model of dynamic fracture, and introduce models for "sharp interface" dynamic fracture.
引用
收藏
页码:131 / 140
页数:10
相关论文
共 50 条
  • [21] A new fracture criterion for ductile materials based on a finite element aided testing method
    Yao, Di
    Cai, Lixun
    Bao, Chen
    [J]. MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 2016, 673 : 633 - 647
  • [22] A strain components-based Mohr-Coulomb fracture criterion for proportional loading
    Wu, Kang
    Sun, Yong
    Xiao, Wenchao
    Yang, Jun
    [J]. ENGINEERING FRACTURE MECHANICS, 2024, 307
  • [23] Mesh objectivity in dynamic fracture analyses with rate dependent continuum damage models
    Abdullah, Taufiq
    Kirane, Kedar
    [J]. MECHANICS OF MATERIALS, 2023, 180
  • [24] Knowledge based dynamic human population models
    Okuducu, Mahmut Burak
    Aral, Mustafa M.
    [J]. TECHNOLOGICAL FORECASTING AND SOCIAL CHANGE, 2017, 122 : 1 - 11
  • [25] A derivation of Griffith functionals from discrete finite-difference models
    Crismale, Vito
    Scilla, Giovanni
    Solombrino, Francesco
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 59 (06)
  • [26] LMI-Based Stability Criterion of Impulsive T-S Fuzzy Dynamic Equations via Fixed Point Theory
    Rao, Ruofeng
    Pu, Zhilin
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [27] EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE
    Larsen, Christopher J.
    Ortner, Christoph
    Suli, Endre
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2010, 20 (07) : 1021 - 1048
  • [28] Lightweight topology optimization of cracked structures based on the mixed-mode brittle fracture criterion
    Yang, Changhao
    Xu, Bin
    Wu, Zeyu
    Duan, Zunyi
    Lin, Huagang
    Huang, Xiaodong
    [J]. ENGINEERING STRUCTURES, 2025, 330
  • [29] A critical plane-based fracture criterion for mixed-mode delamination in composite materials
    Liu, Yongming
    Zhang, Chao
    Xiang, Yibing
    [J]. COMPOSITES PART B-ENGINEERING, 2015, 82 : 212 - 220
  • [30] Tension-torsion fracture experiments - Part II: Simulations with the extended Gurson model and a ductile fracture criterion based on plastic strain
    Xue, Zhenyu
    Faleskog, Jonas
    Hutchinson, John W.
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2013, 50 (25-26) : 4258 - 4269