To improve the performance of the low-order linear triangular element for solving transient
wave propagation problems, this paper presents a novel enriched finite element method …

Aiming to solve, in a unified way, continuous and discontinuous problems in geotechnical
engineering, the numerical manifold method introduces two covers, namely, the …

The pronounced numerical dispersions and numerical anisotropy make solutions from the
finite element model using low-order elements unreliable for the time-harmonic acoustic …

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 full response of a brittle structure containing multiple cracks to loading under the servo
control is of vital importance in the evaluation of properties of the structure. During crack …

An improved grain-based numerical manifold method (NMM) is developed to investigate
deformation and damage of intact rocks at the meso‑scale. The grain boundaries are …

In order to solve problems, from a continuum point of view and in a unified way, involving
continuum and discontinuum deformation, and small deformation and large movement, the …

This review summarizes the development of particle-based numerical manifold method
(PNMM) and its applications to rock dynamics. The fundamental principle of numerical …

Many rectangular plate elements developed in the history of finite element method (FEM)
have displayed excellent numerical properties, yet their applications have been limited due …

In this work, the novel quadrilateral overlapping element incorporated with the harmonic
trigonometric functions is presented to reduce the efforts in mesh division for modal analysis …