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Nonlinear Mechanics of Crystals
TLDR
In this article, the authors present a mathematical foundation for the Kinematics of Crystalline Solids, including the Thermomechanics of the solids, and the Thermo-elasticity and elastoplasticity.Abstract:
Introduction.- Mathematical foundations.- Kinematics of Crystalline Solids.- Thermomechanics of Crystalline Solids.- Thermoelasticity.- Elastoplasticity.- Residual Deformation from Lattice Defects.- Mechanical Twinning in Crystal Plasticity.- Generalized Inelasticity.- Dielectrics and piezoelectricity.- Chrystal Symmetries and Elastic Constants.- Lattice Statics and Dynamics.- Discrete Defects in Linear Elasticity.- SI Units and Fundamental Constants.- Kinematic Derivations.- References.- Index.read more
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Phase field modeling of ductile fracture at finite strains: A variational gradient-extended plasticity-damage theory
TL;DR: In this paper, a variational-based framework for the phase field modeling of ductile fracture in elastic-plastic solids undergoing large strains is presented, which includes two independent length scales which regularize both the plastic response and the crack discontinuities.
Journal ArticleDOI
Phase Field Modeling of Directional Fracture in Anisotropic Polycrystals
John D. Clayton,Jaroslaw Knap +1 more
TL;DR: A phase field theory for modeling deformation and fracture of single crystals, polycrystals, and grain boundaries is developed in this paper, where an incremental energy minimization approach is used to predict equilibrium crack morphologies in finite element simulations.
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Observable traces of non-metricity: New constraints on metric-affine gravity
TL;DR: In this paper, the authors show that non-metricity produces observable effects in quantum fields in the form of 4-fermion contact interactions, thereby allowing them to constrain the scale of non-measureability to be greater than 1 TeV by using results on Bahbah scattering.
Journal ArticleDOI
A geometrically nonlinear phase field theory of brittle fracture
John D. Clayton,Jaroslaw Knap +1 more
TL;DR: In this paper, phase field theory is developed for solids undergoing potentially large deformation and fracture, enabling prediction of equilibrium crack morphologies, including the driving force for a crack to extend from a pre-existing plane onto a misoriented cleavage plane.
Journal ArticleDOI
A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine
TL;DR: In this article, a model for the finite deformation thermomechanical response of α-cyclotrimethylene trinitramine (RDX) was developed, which accounts for nonlinear thermoelastic lattice deformation through a free energy-based equation of state developed by Cawkwell et al. (2016) in combination with temperature and pressure dependent elastic constants, as well as dislocation-mediated plastic slip on a set of slip systems motivated by experimental observation.
Related Papers (5)
A phase field model of deformation twinning: Nonlinear theory and numerical simulations
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