A review on fracture propagation in concrete: Models, methods, and benchmark tests

F Mukhtar, A El-Tohfa - Engineering Fracture Mechanics, 2023 - Elsevier
Rigorous characterization of fracture evolution in quasi-brittle materials–such as concrete–
requires computationally intensive and, mostly, complex approaches. However, the …

Crack Initiation, Propagation, and Failure Characteristics of Jointed Rock or Rock‐Like Specimens: A Review

R Cao, P Cao, H Lin, X Fan, C Zhang… - Advances in Civil …, 2019 - Wiley Online Library
Rock masses are heterogeneous materials containing a large number of discontinuities, and
the failure of the natural rock mass is induced by the crack propagation and coalescence of …

Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics

Y Wang, X Zhou, X Xu - Engineering Fracture Mechanics, 2016 - Elsevier
The maximum tensile stress criterion and the Mohr-Coulomb criterion are incorporated into
the extended non-ordinary state-based peridynamics (NOSB-PD) to simulate the initiation …

Cracking elements method with a dissipation-based arc-length approach

Y Zhang, J Huang, Y Yuan, HA Mang - Finite Elements in Analysis and …, 2021 - Elsevier
The dissipated strain energy, representing a monotonically increasing state variable in
nonlinear fracture mechanics, can be used to develop an arc-length constraint equation 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 simple hybrid linear and nonlinear interpolation finite element for the adaptive Cracking Elements Method

X Wang, Y Zhang, M Wen, HA Mang - Finite Elements in Analysis and …, 2025 - Elsevier
Abstract The Cracking Elements Method (CEM) is a numerical tool for simulation of quasi-
brittle fracture. It neither needs remeshing, nor nodal enrichment, or a complicated crack …

Finite strain fracture of plates and shells with configurational forces and edge rotations

P Areias, T Rabczuk - International Journal for Numerical …, 2013 - Wiley Online Library
We propose a simple and efficient algorithm for FEM‐based computational fracture of plates
and shells with both brittle and ductile materials on the basis of edge rotation and load …

Element-wise fracture algorithm based on rotation of edges

P Areias, T Rabczuk, D Dias-da-Costa - Engineering fracture mechanics, 2013 - Elsevier
We propose an alternative, simpler algorithm for FEM-based computational fracture in brittle,
quasi-brittle and ductile materials based on edge rotations. Rotation axes are the crack front …

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 …