Quasistatic crack growth in nonlinear elasticity

被引：240

作者：

Dal Maso, G

Francfort, GA

Toader, R

机构：

[1] SISSA, I-34014 Trieste, Italy

[2] Univ Paris 13, LPMTM, F-93430 Villetaneuse, France

[3] Dipartimento Ingn Civile, I-33100 Udine, Italy

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2005年 / 176卷 / 02期

关键词：

D O I：

10.1007/s00205-004-0351-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove a new existence result for a variational model of crack growth in brittle materials proposed in [19]. We consider the case of n-dimensional nonlinear elasticity, for an arbitrary n >= 1, with a quasiconvex bulk energy and with prescribed boundary deformations and applied loads, both depending on time.

引用

页码：165 / 225

页数：61

共 31 条

[1] AMBROSIO L, 1989, B UNIONE MAT ITAL, V3B, P857
[2] EXISTENCE THEORY FOR A NEW CLASS OF VARIATIONAL-PROBLEMS
AMBROSIO, L
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 111 (04) : 291 - 322
[3] ON THE LOWER SEMICONTINUITY OF QUASI-CONVEX INTEGRALS IN SBV(OMEGA, R(K))
AMBROSIO, L
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (03) : 405 - 425
[4] Ambrosio L., 2000, OX MATH M, pxviii, DOI 10.1017/S0024609301309281
[5] BREZIS H., 1973, North-Holland Math. Stud., V5
[6] BREZIS H, 1993, RMA RES NOTES APPL M, V29, P43
[7] A density result in two-dimensional linearized elasticity, and applications
Chambolle, A
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2003, 167 (03) : 211 - 233
[8] Dacorogna B., 1989, DIRECT METHODS CALCU
[9] A model for the quasi-static growth of brittle fractures: Existence and approximation results
Dal Maso, G
Toader, R
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2002, 162 (02) : 101 - 135
[10] DALMASO G, 2004, IN PRESS CALCULUS VA

← 1 2 3 4 →