The extended and generalized finite element methods are reviewed with an emphasis on
their applications to problems in material science:(1) fracture,(2) dislocations,(3) grain …

In this review we identify a new category of methods for implementing and solving structural
optimization problems that has emerged over the last 20 years, which we propose to call …

Hydraulic fracturing is the method of choice to enhance reservoir permeability and well
efficiency for extraction of shale gas. Multi‐stranded non‐planar hydraulic fractures are often …

This paper presents a review on the numerical manifold method (NMM), which covers the
basic theories of the NMM, such as NMM components, NMM displacement approximation …

This paper extends the numerical manifold method (NMM) for footwall slope stability
analysis. A fracturing algorithm based on the Mohr–Coulomb criterion with a tensile cutoff is …

The major difficulty in the analysis of unconfined flow in porous media is that the free surface
is unknown a priori, where the nonlinearity is even stronger than the unsaturated seepage …

This paper presents an isotropic damage model for quasi-brittle materials and demonstrates
its performance in crack propagation analysis for concrete. The suggested damage model is …

Orthotropic steel deck (OSD) are widely used in steel bridges because of their many
advantages, but the structures and stresses of OSD are complex and sensitive to fatigue …

This paper proposes a strategy to solve the problems of the conventional s-version of finite
element method (SFEM) fundamentally. Because SFEM can reasonably model an analytical …

This study presents a novel phase-field model for ductile fracture by the introduction of both
the plastic driving force and the degrading fracture toughness into crack phase-field …