Journal ArticleDOI
Automatic modelling of cohesive crack propagation in concrete using polygon scaled boundary finite elements
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An automatic cohesive crack propagation modelling methodology for quasi-brittle materials using polygon elements is presented in this article, where each polygon is treated as a subdomain that is modelled by the scaled boundary finite element method (SBFEM).About:
This article is published in Engineering Fracture Mechanics.The article was published on 2012-10-01. It has received 55 citations till now. The article focuses on the topics: Polygon & Polygon mesh.read more
Citations
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A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics
TL;DR: In this article, the development and application of the scaled boundary finite element method for fracture analysis is reviewed, with the only limitation that the whole boundary is directly visible from the scaling centre.
Journal ArticleDOI
A scaled boundary polygon formulation for elasto-plastic analyses
TL;DR: In this article, a scaled boundary polygon formulation is presented to model elasto-plastic material responses in structures, where the stiffness matrix and residual load vector are matrix power integrals that can be evaluated analytically even when a strain singularity is present.
Journal ArticleDOI
Simulation of elastic guided waves interacting with defects in arbitrarily long structures using the Scaled Boundary Finite Element Method
TL;DR: An approach is presented to model the propagation of elastic waves and their interaction with defects in plate structures using the Scaled Boundary Finite Element Method, a general semi-analytical method requiring the discretization of boundaries only.
Journal ArticleDOI
Scaled boundary polygons with application to fracture analysis of functionally graded materials
TL;DR: In this paper, a generalized scaled boundary shape function is proposed to represent the singular stress field in the vicinity of the crack tip to be represented accurately, and a novel scaled boundary polygon formulation that captures the heterogeneous material response observed in functionally graded materials is developed.
Journal ArticleDOI
Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons
TL;DR: In this article, a relative entropy measure for signed (positive or negative) shape functions with nodal prior weight functions that have the appropriate zero-set on the boundary of the polygon is presented.
References
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Journal ArticleDOI
A finite element method for crack growth without remeshing
TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
TL;DR: In this article, fracture mechanics is introduced into finite element analysis by means of a model where stresses are assumed to act across a crack as long as it is narrowly opened, which may be regarded as a way of expressing the energy adsorption in the energy balance approach.
Journal ArticleDOI
Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
TL;DR: In this article, fracture mechanics is introduced into finite element analysis by means of a model where stresses are assumed to act across a crack as long as it is narrowly opened, which may be regarded as a way of expressing the energy adsorption in the energy balance approach.
Journal ArticleDOI
Numerical simulations of fast crack growth in brittle solids
Xiaopeng Xu,Alan Needleman +1 more
TL;DR: In this article, a model of dynamic crack growth is presented for a plane strain block with an initial central crack subject to tensile loading, where crack branching emerges as a natural outcome of the initial-boundary value problem solution, without any ad hoc assumption regarding branching criteria.
Computer-Aided Structural Engineering (CASE) Project: Decision Logic Table Formulation of ACI (American Concrete Institute) 318-77 Building Code Requirements for Reinforced Concrete for Automated Constraint Processing. Volume 2.
TL;DR: In this article, an automated constraint process based on an interconnected system of Decision Logic Tables (DLT) is presented. But the DLT method can be applied to identify requirements of a given design as well as to check the design against applicable requirements.
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