The smoothed finite element methods (S-FEM) are a family of methods formulated through
carefully designed combinations of the standard FEM and some of the techniques from the …

This review paper presents a methodological study on possible and existing meshfree
methods for solving the partial differential equations (PDEs) governing solid mechanics …

The phase-field model (PFM) represents the crack geometry in a diffusive way without
introducing sharp discontinuities. This feature enables PFM to effectively model crack …

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is
proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium …

We predict the macroscopic tensile strength and fracture toughness of fully exfoliated nano
silicate clay epoxy composites accounting for the interphase behavior between the …

Compressive-shear fracture is commonly observed in rock-like materials. However, this
fracture type cannot be captured by current phase field models (PFMs), which have been …

An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …

In this work, a digital twin (DT)-driven approach is proposed to accurately predict structural
fatigue life by establishing effective dual-information communication between a DT virtual …

A phase-field model for brittle fracture is implemented in the commercial finite element
software Abaqus by means of UEL and UMAT subroutines. The phase-field method …

The phase-field model for fractures regularizes crack diffusion using a length-scale
parameter. The displacement fields and the phase-field in a coupled system can be solved …