A nodal-based Lagrange multiplier/cohesive zone approach for three-dimensional dynamic crack simulations of quasi-brittle materials

Y Qin, S Chen, M Asai - Engineering Fracture Mechanics, 2023 - Elsevier
Accurate simulations of cracks remain a challenging task in the computational mechanics
community. The main purpose of this work is to develop a nodal-based Lagrange …

Energy-based physics-informed neural network for frictionless contact problems under large deformation

J Bai, Z Lin, Y Wang, J Wen, Y Liu, T Rabczuk… - Computer Methods in …, 2025 - Elsevier
Numerical methods for contact mechanics are of great importance in engineering
applications, enabling the prediction and analysis of complex surface interactions under …

Modeling of interfacial multi-cracks in dissimilar laminated structures using a nodal-based Lagrange multiplier/cohesive zone approach

Y Qin, S Chen, M Asai - Theoretical and Applied Fracture Mechanics, 2024 - Elsevier
Recent decades have witnessed a growing interest in simulating interfacial debonding in
laminated structures using cohesive zone (CZ)-based algorithms. In the present work, we …

[HTML][HTML] A general class of enriched methods for the simplicial linear finite elements

F Dell'Accio, F Di Tommaso, A Guessab… - Applied Mathematics and …, 2023 - Elsevier
Low-order elements are widely used and preferred for finite element analysis, specifically
the three-node triangular and four-node tetrahedral elements, both based on linear …

[HTML][HTML] The discontinuity-enriched finite element method for multiple intersecting discontinuities

D Liu, J Zhang, AM Aragón, A Simone - Computer Methods in Applied …, 2025 - Elsevier
Abstract We extend the Discontinuity-Enriched Finite Element Method (DE-FEM) to simulate
intersecting discontinuities, such as those encountered in polycrystalline materials, multi …

[HTML][HTML] Fully decoupling geometry from discretization in the Bloch–Floquet finite element analysis of phononic crystals

SJ van den Boom, F van Keulen, AM Aragón - Computer Methods in …, 2021 - Elsevier
An immersed enriched finite element method is proposed for the analysis of phononic
crystals (PnCs) with finite element (FE) meshes that are completely decoupled from …

A coupled FETI-BDNM for solving 3D elastic frictional contact problem

H Gao, Z Hu, Z Yin, G Lin - European Journal of Mechanics-A/Solids, 2023 - Elsevier
Based on the B-differentiable Newton method (BDNM) and finite element tearing and
interconnecting (FETI) algorithm, a coupled approach named FETI-BDNM is developed to …

[HTML][HTML] A Discontinuity-Enriched Finite Element Method (DE-FEM) for modeling quasi-static fracture growth in brittle solids

J Zhang, Y Yan, CA Duarte, AM Aragón - Computer Methods in Applied …, 2025 - Elsevier
Enriched finite element methods (e-FEMs) have become a popular choice for modeling
problems containing material discontinuities (eg, multi-phase materials and fracture). The …

Physics-based numerical implementation framework towards multi-scale contact problem

T Yang, X Tang, Z Yan, G Wang, G Zhao, H Peng - Tribology International, 2025 - Elsevier
This paper establishes a general computational framework to solve the muti-scale contact
problem by integrating the statistical contact model with the finite element format. Compared …

A multi-point constraint unfitted finite element method

BL Freeman - Advanced Modeling and Simulation in Engineering …, 2022 - Springer
In this work a multi-point constraint unfitted finite element method for the solution of the
Poisson equation is presented. Key features of the approach are the strong enforcement of …