We study three quasicontinuum approximations of a lattice model for crack propagation. The influence of the approximation on the bifurcation patterns is investigated. The estimate of the modeling error is applicable to near and beyond bifurcation points, which enables us to evaluate the approximation over a finite range of loading and multiple mechanical equilibria.

In this paper, meshless methods and partition of unity based finite element methods are reviewed. In meshless methods, the approximation is built without the explicit connectivity information between the nodes; moving-least squares approximants and natural neighbor-based interpolants are discussed. The enrichment of the finite element approximation through the partition of unity framework is de...

The fracture of viscoplastic materials is a complex process due to its time-dependent and plastic responses. Numerical simulation for fractures plays significant role in crack prediction failure analysis. In recent years, the phase field model has become competitive approach predict growth been extended inelastic materials, such as elasto-plastic, viscoelastic etc. However, contribution energy ...

A continuum field theory approach is presented for modeling elastic and plastic deformation, free surfaces, and multiple crystal orientations in nonequilibrium processing phenomena. Many basic properties of the model are calculated analytically, and numerical simulations are presented for a number of important applications including, epitaxial growth, material hardness, grain growth, reconstruc...

We study three quasicontinuum approximations of a lattice model for crack propagation. The influence of the approximation on the bifurcation patterns is investigated. The estimate of the modeling error is applicable to near and beyond bifurcation points, which enables us to evaluate the approximation over a finite range of loading and multiple mechanical equilibria.

Submit Manuscript | http://medcraveonline.com Abbreviations: FFR: Fatigue Failure Rate; FFPN: Fleet of N Fatigue-Prone aircraft; AL: Airline; AC: Aircraft; SL: Safe Life; FS: Fail Safe; DT: Damage Tolerance; MIMAR: Modeling in Industrial Maintenance and Reliability; CDF: Cumulative Distribution Functions; RV: Random Variable; ML: Maximum Likelihood; MCh: Markov chain; CD: Crack Detection; FF: F...