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Article
An analysis of deformation and failure in rectangular tensile bars accounting for void shape changes
A three-dimensional finite deformation study of necking and failure in rectangular tensile bars is carried out using a constitutive relation for porous material plasticity. The fully dynamic formulation accoun...
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Article
Finite deformation analysis of crack tip fields in plastically compressible hardening–softening–hardening solids
Crack tip fields are calculated under plane strain small scale yielding conditions. The material is characterized by a finite strain elastic–viscoplastic constitutive relation with various hardening–softening–...
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Article
Indentation of elastically soft and plastically compressible solids
The effect of soft elasticity, i.e., a relatively small value of the ratio of Young’s modulus to yield strength and plastic compressibility on the indentation of isotropically hardening elastic–viscoplastic so...
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Article
Deformation of plastically compressible hardening-softening-hardening solids
Motivated by a model of the response of vertically aligned carbon nanotube (VACNT) pillars in uniaxial compression, we consider the deformation of a class of compressible elastic-viscoplastic solids with a har...
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Chapter
Discrete Dislocation Plasticity
Plastic deformation of crystalline solids is of both scientific and technological interest. Over a wide temperature range, the principal mechanism of plastic deformation in crystalline solids involves the glid...
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Article
Void nucleation by inclusion cracking
Void nucleation is studied both experimentally and computationally with the aim of identifying a macroscopic criterion for nucleation by particle cracking. Three types of circumferentially notched cylindrical ...
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Chapter and Conference Paper
Discrete Dislocation Predictions of Single Crystal Fatigue Crack Growth
A framework for analysis of crack growth under cyclic loading conditions is discussed where plastic flow arises from the motion of large numbers of discrete dislocations and the fracture properties are embedde...
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Article
Nonlocal approach in evaluating strain localization behaviors of voided ductile materials
Finite element analysis of the strain localization behaviors of a voided ductile material has been performed using a non-local plasticity, in which the yield strength depends on both an equivalent plastic stra...
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Article
Crack tip fields at a ductile single crystal-rigid material interface
Small-scale yielding around a stationary crack along a ductile single crystal–rigid material interface is analyzed. Plane strain conditions are assumed to prevail and geometry changes are neglected. The analys...
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Article
A cohesive segments method for the simulation of crack growth
A numerical method for crack growth is described in which the crack is not regarded as a single discontinuity that propagates continuously. Instead, the crack is represented by a set of overlap** cohesive s...
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Chapter and Conference Paper
Localized Plastic Flow in Single Crystals: A Nonlocal Analysis
Plane strain tension of a single crystal is analyzed numerically. The crystal geometry is idealized in terms of a planar double slip model and the material is characterized by the nonlocal crystal plasticity t...
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Article
Size Effects in the Charpy V-Notch Test
Issues related to the size dependence of the upper shelf energy (USE) and the ductile-to-brittle transition temperature (DBTT) in the Charpy V-notch test are investigated. Emphasis is placed on the interplay b...
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Chapter and Conference Paper
Dynamic Crack Growth along Interfaces
For remotely loaded cracks in isotropic elastic solids, the energy flux into the crack tip vanishes as the crack speed increases to the Rayleigh wave speed of the material, see [1]. However, theoretical and nu...
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Article
Crack growth in lamellar titanium aluminide
In-situ compact tension tests on binary lamellar titanium aluminide (TiAl) possessing the colony ``polycrystalline'' microstructure illustrate a range of damage phenomena and toughening mechanisms including crac...
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Article
Micromechanics of Fracture: Connecting Physics to Engineering
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Article
Microcrack nucleation and growth in elastic lamellar solids
The nucleation and growth of microcracks in elastic lamellar microstructures is studied numerically. The analyses are carried out within a framework where the continuum is characterized by two constitutive rel...
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Article
Numerical modeling of the ductile-brittle transition
Numerical studies of the ductile-brittle transition are described that are based on incorporating physically based models of the competing fracture mechanisms into the material's constitutive relation. An elas...
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Article
A Discrete Dislocation Analysis of Crack Growth under Cyclic Loading
Cyclic loading of a plane strain mode I crack under small scale yielding is analyzed using discrete dislocation dynamics. The dislocations are all of edge character, and are modeled as line singularities in an...
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Article
Modeling and Simulation of Dynamic Fragmentation in Brittle Materials
Fragmentation of brittle materials under high rates of loading is a commonly occurring phenomenon, but quantitative descriptions of the process have been elusive. Several models for dynamic fragmentation have ...
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Article
Discrete Dislocations Interacting with a Mode I Crack
Small scale yielding around a plane strain mode I crack is analyzed using discrete dislocation dynamics. The dislocations are all of edge character, and are modeled as line singularities in an elastic material...
