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A variational problem in the mechanics of complex materials

Abstract Related Papers Cited by
  • We analyze the possible nucleation of cracked surfaces in materials in whichchanges in the material texture have a prominent influence on themacroscopic mechanical behavior. The geometry of crackpatterns is described by means of stratified families of curvature varifoldswith boundary. Possible non-local actions of the microstructures areaccounted for. We prove existence of ground states of the energy in terms ofdeformation, descriptors of the microstructure and varifolds.
    Mathematics Subject Classification: Primary: 49J45, 49Q15, 74A30, 74A45, 74A60.


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