• Advantages of the boundary element method and meshless approaches are inherited in hybrid MDDM to deal with crack problems. Cracked Reissner's plate non homogenous media is investigated by first time. High accurate/convergent solutions using Chebyshev polynomials can be obtained . Growing applications non-homogenous engineering structures require application powerful computational tools. A no...

A method to compute the “exact” or consistent sensitivities to material and loading parameters of the numerical nonlinear finite element response was developed by other researchers and the second author. This general method is referred to in the literature as the Direct Differentiation Method (DDM). This paper focuses on the behavior of stand-alone sensitivity results. It presents the results o...

To expand the scope of accurate and efficient gradient-based applications in structural engineering, the direct differentiationmethod (DDM) is applied to compute the response sensitivity of force-based frame finite elements with combined material and geometric nonlinearity where the transverse displacement field is determined by curvature-based displacement interpolation. Sensitivity is develop...

Shear fracture network is important to the hydraulic fracturing treatment of a shale gas reservoir. In this paper, the formation of shear fracture network is investigated by a Displacement Discontinuity Method (DDM) based model. The results show that the sliding of fracture surface is irreversible but may change significantly after fluid pressure dissipates. The final sliding distance is differ...

1. Abstract We propose a novel approach for the analysis of cohesive crack propagation in elastic media. Unlike all existing methods that move from continuous displacement formulations that are properly enriched to handle the discontinuity, see e.g. the extended finite element method (XFEM) or the embedded discontinuity approaches, inherently discontinuous displacements and H(div,Ω) stresses in...

Numerical methods such as boundary element and finite element methods are widely used for the stress analysis in solid mechanics. This study presents boundary element method based on the displacement discontinuity formulation to solve general problems of interaction between hydraulic fracturing and discontinuities. The crack tip element and a higher order boundary displacement collocation techn...

Discontinuity layout optimization (DLO) is a relatively new upper bound limit analysis method. Compared to classic topology methods, aimed at obtaining the optimum design of structure by considering its self-weight, building cost, or bearing capacity, DLO optimizes failure pattern under specific loading conditions and constraints minimizing dissipation energy. In this work, we present modified ...