Damage and fracture algorithm using the screened Poisson equation and local remeshing

P Areias, MA Msekh, T Rabczuk - Engineering Fracture Mechanics, 2016 - Elsevier
We propose a crack propagation algorithm which is independent of particular constitutive
laws and specific element technology. It consists of a localization limiter in the form of the …

State of the art on structural reinforced concrete design guidelines with non-linear analyses

MRT Arruda, M Deividas, K Vadimas - Mechanics of Advanced …, 2024 - Taylor & Francis
Structural design rules of reinforced concrete structures for using non-linear analysis with
MC2010 are presented in this article. The authors propose guidelines and good practice for …

Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation

P Areias, J Reinoso, PP Camanho, JC De Sá… - Engineering Fracture …, 2018 - Elsevier
In this paper, we propose a simple 2D and 3D crack evolution algorithm which avoids the
variable/DOF map** within mesh adaptation algorithms. To this end, a new area/volume …

A meshfree thin shell method for non‐linear dynamic fracture

T Rabczuk, PMA Areias… - International journal for …, 2007 - Wiley Online Library
A meshfree method for thin shells with finite strains and arbitrary evolving cracks is
described. The C1 displacement continuity requirement is met by the approximation, so no …

Analysis of three‐dimensional crack initiation and propagation using the extended finite element method

PMA Areias, T Belytschko - International journal for numerical …, 2005 - Wiley Online Library
An Erratum has been published for this article in International Journal for Numerical
Methods in Engineering 2005, 63 (8): 1228. We present a new formulation and a numerical …

Steiner-point free edge cutting of tetrahedral meshes with applications in fracture

P Areias, T Rabczuk - Finite Elements in Analysis and Design, 2017 - Elsevier
Realistic 3D finite strain analysis and crack propagation with tetrahedral meshes require
mesh refinement/division. In this work, we use edges to drive the division process. Mesh …

Finite strain fracture of 2D problems with injected anisotropic softening elements

P Areias, T Rabczuk, PP Camanho - Theoretical and Applied Fracture …, 2014 - Elsevier
In the context of plane fracture problems, we introduce an algorithm based on our previously
proposed rotation of edges but now including the injection of continuum softening elements …

Non‐linear analysis of shells with arbitrary evolving cracks using XFEM

PMA Areias, T Belytschko - International Journal for Numerical …, 2005 - Wiley Online Library
A new formulation and numerical procedures are developed for the analysis of arbitrary
crack propagation in shells using the extended finite element method. The method is valid …

[PDF][PDF] A meshfree thin shell for arbitrary evolving cracks based on an extrinsic basis

T Rabczuk, P Areias - 2006 - ir.canterbury.ac.nz
This paper proposes a meshfree method for arbitrary evolving cracks in thin shells. The
approach is an improvement of the method proposed by Rabczuk T., Areias PMA …

A unified finite strain gradient-enhanced micropolar continuum approach for modeling quasi-brittle failure of cohesive-frictional materials

M Neuner, RA Regueiro, C Linder - International Journal of Solids and …, 2022 - Elsevier
In this work, a novel framework for modeling quasi-brittle crack propagation and shear band
dominated failure of cohesive-frictional materials like concrete, mortar, rock, tough ceramics …