Crack nucleation in a peridynamic solid

Crack nucleation in a peridynamic solid

A condition for the emergence of a discontinuity in an elastic peridynamic body is proposed, resulting in a material stability condition for crack nucleation. The condition is derived by determining whether a small discontinuity in displacement, superposed on a possibly large deformation, grows over time. Stability is shown to be determined by the sign of the eigenvalues of a tensor field that ...

Peridynamic Theory of Solid Mechanics

Local Analysis of Structural Instability in Stressed Lattices: Crack Nucleation in a Covalent Solid

C. S. Jayanthi,1 M. Tang,2 S. Y. Wu,1,5 J. A. Cocks,3 and S. Yip4,5 1Department of Physics, University of Louisville, Louisville, Kentucky 40292 2Lawrence Livermore National Laboratory, Livermore, California 94550 3Information Technology, University of Louisville, Louisville, Kentucky 40292 4Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139...

Crack Tip Dislocation Nucleation in FCC Solids

We present results of molecular dynamic simulations aimed at examining crack tip dislocation emission in fcc solids. The results are analyzed in terms of recent continuum formulations of this problem. In mode II, Au, Pd, and Pt displayed a new unanticipated mechanism of crack tip dislocation emission involving the creation of a pair of Shockley partials on a slip plane one plane below the crack...

Crack kinking in a piezoelectric solid

The intrinsic coupling between the mechanical and the electric _elds assigns a unique feature for the fracture in a piezoelectric solid[ We model the kink of a crack by continuous distribution of edge dislocations and electric dipoles[ The problem admits an approach based on the Stroh formalism[ A set of coupled singular integral equations are derived for the dislocation and electric dipole den...