Hybrid meshless displacement discontinuity method (MDDM) in fracture mechanics: Static and dynamic

A Meshless Method for Computational Stochastic Mechanics

This paper presents a stochastic meshless method for probabilistic analysis of linear-elastic structures with spatially varying random material properties. Using Karhunen-Loève (K-L) expansion, the homogeneous random field representing material properties was discretized by a set of orthonormal eigenfunctions and uncorrelated random variables. Two numerical methods were developed for solving th...

FRACTURE MECHANICS WHAT IS FRACTURE MECHANICS Fracture mechanics is mechanics of solids containing planes of displacement discontinuities (cracks)

The Hybrid Boundary Element Method Applied to Linear Fracture Mechanics

The hybrid boundary element method, a variational formulation introduced in 1987 by the first author, has proven to be a powerful tool for dealing with a great variety of problems of potential, elastostatics and elastodynamics. One of the most recent endeavors of the research team at PUC-Rio is the application of the method to problems of the linear elastic fracture mechanics. In the M.Sc. diss...

An assumed displacement hybrid finite element model for linear fracture mechanics

This paper deals with a procedure to calculate the elastic stress intensity factors for arbitrary-shaped cracks in plane stress and plane strain problems. An assumed displacement.hybrid finite element model is employed wherein the unknowns in the final algebraic system of equations are the nodal displacements and the elastic stress intensity factors. Special elements, which contain proper singu...

Fracture Mechanics Application of an Assumed Displacement Hybrid Finite Element Procedure

References 1 Sharifi, P. and Yates, D. N., "Nonlinear Thermo-Elastic-Plastic and Creep Analysis by the Finite Element Method," AIAA Journal, Vol. 12, Sept. 1974, pp. 1210-1215. 2 Clough, R. W. and Felippa, C. A., "A Refined Quadrilateral Element for Analysis of Plate Bending," Proceedings of Second Conference on Matrix Methods in Structural Mechanics, AFFDL-TR68-150, Oct. 1968, Air Force Flight...