Quasistatic crack growth in nonlinear elasticity

Quasistatic crack growth in nonlinear elasticity

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 n1, with a quasiconvex bulk energy and with prescribed boundary deformations and applied loads, b...

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Veröffentlicht in:Archive for rational mechanics and analysis 2005-05, Vol.176 (2), p.165-225
Hauptverfasser: DAL MASO, Gianni, FRANCFORT, Gilles A, TOADER, Rodica
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Numerical approximation and analysis
Ordinary and partial differential equations, boundary value problems
Physics
Solid mechanics
Structural and continuum mechanics
Studies
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Zusammenfassung: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 n1, with a quasiconvex bulk energy and with prescribed boundary deformations and applied loads, both depending on time.[PUBLICATION ABSTRACT]
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-004-0351-4