Fracture Toughness of Pmma Under Biaxial Stress

Radon, J.C.; Leevers, P. S.; Culver, L. E.

doi:10.1016/b978-0-08-022144-1.50089-4

Cited by 20 publications

(13 citation statements)

References 8 publications

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“…In addition, the rate of deviation increases strongly with T /k 1 . Experimental results on crack paths under biaxial tension [10] are in agreement with this prediction.…”

Section: Crack Path Stability Under Pure Mode-i Loadingsupporting

confidence: 87%

Criteria for Elastic Fracture

Zehnder

2012

Fracture Mechanics

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Criteria for the growth of a pre-existing crack as generally based on reaching critical values of the stress intensity factors or energy release rate. Starting with the simplest case, that of tensile fracture in an elastic material, criteria for fracture under a range of conditions are explored. These include the initiation and evolution of cracks under mixed-mode loading, considerations of the stability of fracture, effects of temperature, fatigue crack growth and stress corrosion cracking.

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“…In addition, the rate of deviation increases strongly with T /k 1 . Experimental results on crack paths under biaxial tension [10] are in agreement with this prediction.…”

Section: Crack Path Stability Under Pure Mode-i Loadingsupporting

confidence: 87%

Criteria for Elastic Fracture

Zehnder

2012

Fracture Mechanics

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“…The available approaches predict slightly different kinking angles and that, after kinking, the trajectory of the crack is always such that the mode II stress intensity factor K II is zero at the tip. Experimental results have also shown that plane cracks after kinking tend to grow perpendicularly to the maximum principal stress (Radon, Lever, and Culver [49]). Here we apply the eigendeformation fracture model to the prediction of kinking and growth of the crack in Figure 6.1, forū 3 = 0, an initial crack length of 0.25H 1 , and different loading angles α = arctan(ū 2 /ū 1 ).…”

Section: Mixed Modes I-iimentioning

confidence: 99%

Eigenfracture: An Eigendeformation Approach to Variational Fracture

Schmidt¹,

Fraternali²,

Ortiz³

2009

Multiscale Model. Simul.

135

150

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Abstract. We propose an approximation scheme for a variational theory of brittle fracture. In this scheme, the energy functional is approximated by a family of functionals depending on a small parameter and on two fields: the displacement field and an eigendeformation field that describes the fractures that occur in the body. Specifically, the eigendeformations allow the displacement field to develop jumps that cost no local elastic energy. However, this local relaxation requires the expenditure of a certain amount of fracture energy. We provide a construction, based on the consideration of ε-neighborhoods of the support of the eigendeformation field, for calculating the right amount of fracture energy associated with the eigendeformation field. We prove the Γ-convergence of the eigendeformation functional sequence, and of finite element approximations of the eigendeformation functionals, to the Griffith-type energy functional introduced in Francfort and Marigo [J. Mech. Phys. Solids, 46 (1998), pp. 1319-1342. This type of convergence ensures the convergence of eigendeformation solutions, and of finite element approximations thereof, to brittle-fracture solutions. Numerical examples concerned with quasi-static mixed-mode crack propagation illustrate the versatility and robustness of the approach and its ability to predict crack-growth patterns in brittle solids.

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“…In other words, we do not exclude unstable (with K I > K IC ) crack propagation once the condition (68) is satisÞed. Following [69], [131], [132], and [133], we assume that unstable crack propagation occurs under unchanged external forces. Firstly, the minimum pressure p 0 , corresponding to the initiation of crack growth is calculated.…”

Section: Problem Geometry and Boundary Conditionsmentioning

confidence: 99%

A Thermoelastic Hydraulic Fracture Design Tool for Geothermal Reservoir Development

Ghassemi¹

2003

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Fracture Toughness of Pmma Under Biaxial Stress

Cited by 20 publications

References 8 publications

Criteria for Elastic Fracture

Criteria for Elastic Fracture

Eigenfracture: An Eigendeformation Approach to Variational Fracture

A Thermoelastic Hydraulic Fracture Design Tool for Geothermal Reservoir Development

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