Approximation of a Brittle Fracture Energy with a Constraint of Non-interpenetration

作者:Chambolle Antonin*; Conti Sergio; Francfort Gilles A.
来源:Archive for Rational Mechanics and Analysis, 2018, 228(3): 867-889.
DOI:10.1007/s00205-017-1207-z

摘要

Linear fracture mechanics (or at least the initiation part of that theory) can be framed in a variational context as a minimization problem over an SBD type space. The corresponding functional can in turn be approximated in the sense of -convergence by a sequence of functionals involving a phase field as well as the displacement field. We show that a similar approximation persists if additionally imposing a non-interpenetration constraint in the minimization, namely that only nonnegative normal jumps should be permissible.

  • 出版日期2018-6