A comparative review of XFEM, mixed FEM and phase-field models for quasi-brittle cracking

M Cervera, GB Barbat, M Chiumenti, JY Wu - Archives of Computational …, 2022 - Springer
In this work, a critical comparison between three different numerical approaches for the
computational modelling of quasi-brittle structural failure is presented. Among the many …

Cracking elements: A self-propagating strong discontinuity embedded approach for quasi-brittle fracture

Y Zhang, X Zhuang - Finite Elements in Analysis and Design, 2018 - Elsevier
In this paper, we present a self-propagating Strong Discontinuity embedded Approach
(SDA) for quasi-brittle fracture. The method is based on the Statically Optimal Symmetric …

Cracking elements method for dynamic brittle fracture

Y Zhang, X Zhuang - Theoretical and Applied Fracture Mechanics, 2019 - Elsevier
The cracking elements (CE) method is a recently presented self-propagating strong
discontinuity embedded approach with the statically optimal symmetric (SDA-SOS) …

A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach

G Scovazzi, B Carnes, X Zeng… - International Journal for …, 2016 - Wiley Online Library
We propose a new approach for the stabilization of linear tetrahedral finite elements in the
case of nearly incompressible transient solid dynamics computations. Our method is based …

An overview of mixed finite elements for the analysis of inelastic bidimensional structures

NA Nodargi - Archives of Computational Methods in Engineering, 2019 - Springer
As inelastic structures are ubiquitous in many engineering fields, a central task in
computational mechanics is to develop accurate, robust and efficient tools for their analysis …

The shifted boundary method for solid mechanics

NM Atallah, C Canuto… - International Journal for …, 2021 - Wiley Online Library
We propose a new embedded/immersed framework for computational solid mechanics,
aimed at vastly speeding up the cycle of design and analysis in complex geometry. In many …

Implicit finite incompressible elastodynamics with linear finite elements: A stabilized method in rate form

S Rossi, N Abboud, G Scovazzi - Computer Methods in Applied Mechanics …, 2016 - Elsevier
We propose a stabilization method for linear tetrahedral finite elements, suitable for the
implicit time integration of the equations of nearly and fully incompressible nonlinear …

Structural size effect: Experimental, theoretical and accurate computational assessment

GB Barbat, M Cervera, M Chiumenti, E Espinoza - Engineering Structures, 2020 - Elsevier
In this paper, experimental evidence, theoretical predictions and the finite element modelling
of the structural size effect in cracking problems of quasi-brittle materials are discussed and …

A stabilized mixed implicit material point method for non-linear incompressible solid mechanics

I Iaconeta, A Larese, R Rossi, E Oñate - Computational Mechanics, 2019 - Springer
In this work a stabilized mixed formulation for the solution of non-linear solid mechanics
problems in nearly-incompressible conditions is presented. In order to deal with high …

The shifted fracture method

K Li, NM Atallah, A Rodríguez‐Ferran… - International Journal …, 2021 - Wiley Online Library
We propose a new framework for fracture mechanics, based on the idea of an approximate
fracture geometry representation combined with approximate interface conditions. Our …