Journal ArticleDOI
Mixed‐Mode Fracture of Concrete Subjected to Impact Loading
Reji John,Surendra P. Shah +1 more
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In this article, an analytical and experimental investigation of mode I (tensile) and mixed mode (combined tensile and shear) fracture of concrete subjected to impact loading was conducted.Abstract:
An analytical and experimental investigation of mode I (tensile) and mixed mode (combined tensile and shear) fracture of concrete subjected to impact loading was conducted. The rate of loading ranged from a slow strain rate of 10\u-\u6/s to an impact strain rate of 0.5/s. Mixed-mode tests were conducted using beams with notches at different locations along the span of the beam. A new clip gage was developed to measure crack-opening displacement at slow and impact rates of loading. A nonlinear fracture-mechanics model was developed to predict the rate sensitivity of mode I and mixed-mode fracture of concrete. This approach was based on the observation that the prepeak nonlinearity may be attributed to prepeak stable crack growth and that this prepeak crack growth decreased with an increase in the rate of loading. The mixed-mode-fracture-mechanics study used finite element analysis with singular quarter-point elements at the crack tip. Mixed-mode experimental and analytical results indicate that impact loading could result in brittle diagonal tension-shear failure of concrete structures as opposed to ductile flexural failure at a slow rate of loading.read more
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Journal ArticleDOI
Meshless methods: An overview and recent developments
TL;DR: Meshless approximations based on moving least-squares, kernels, and partitions of unity are examined and it is shown that the three methods are in most cases identical except for the important fact that partitions ofunity enable p-adaptivity to be achieved.
Journal ArticleDOI
Cracking particles: A simplified meshfree method for arbitrary evolving cracks
Timon Rabczuk,Ted Belytschko +1 more
TL;DR: A new approach for modelling discrete cracks in meshfree methods is described, in which the crack can be arbitrarily oriented, but its growth is represented discretely by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed.
Journal ArticleDOI
A method for dynamic crack and shear band propagation with phantom nodes
TL;DR: In this article, a new method for modeling arbitrary dynamic crack and shear band propagation is presented, where cracks are treated by adding phantom nodes and superposing elements on the original mesh.
Journal ArticleDOI
Dynamic fracture using element-free galerkin methods
Ted Belytschko,Mazen R. Tabbara +1 more
TL;DR: The element-free Galerkin method for dynamic crack propagation is described and applied to several problems as mentioned in this paper, which facilitates the modelling of growing crack problems because it does not require remeshing; the growth of the crack is modelled by extending its surfaces.
Book
Fracture mechanics of concrete structures
TL;DR: In this article, the authors present a state-of-the-art report on fracture mechanics of concrete: concepts, models and determination of material properties, including fracture models with softening zone.
References
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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
On the use of isoparametric finite elements in linear fracture mechanics
TL;DR: In this paper, the inverse square root singularity of the plane eight noded isoparametric element has been used to calculate stress intensity factors of elastic fracture mechanics, including constant strain and rigid body motion modes.
Journal ArticleDOI
Two Parameter Fracture Model for Concrete
Yeoushang Jenq,Surendra P. Shah +1 more
TL;DR: In this article, a two parameter fracture model is proposed to include this nonlinear slow crack growth and the critical effective crack extension is dictated by the elastic critical crack tip opening displacement, CTODc.
Book ChapterDOI
Strain Energy Release Rate for a Crack under Combined Mode I and Mode II.
Hussain,S L Pu,J H Underwood +2 more
TL;DR: In this article, the energy release rate for a crack subjected simultaneously to mode I and mode II conditions is computed by path independent integrals, using the elastic solution of a deflected crack, having a main branch and a propagation branch.