A New Approach to the Modeling and Analysis of Fracture through Extension of Continuum Mechanics to the Nanoscale
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Publication:3162539
DOI10.1177/1081286510362457zbMath1197.74010OpenAlexW3022133476MaRDI QIDQ3162539
Tsvetanka Sendova, Jay R. Walton
Publication date: 19 October 2010
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1969.1/ETD-TAMU-2995
Related Items (22)
Wave scattering by cracks at macro- and nano-scale in anisotropic plane by boundary integral equation method ⋮ A new B-spline collocation method for singular integro-differential equations of higher orders ⋮ Discussion of the linearized version of the Steigmann-Ogden surface model in plane deformation and its application to inclusion problems ⋮ Analysis of plane-strain crack problems (mode-I \& mode-II) in the presence of surface elasticity ⋮ An adhesive contact problem for a semi-plane with a surface elasticity in the Steigmann-Ogden form ⋮ Cracked elastic layer with surface elasticity under antiplane shear loading ⋮ Generalized Multiscale Finite Element Treatment of a Heterogeneous Nonlinear Strain-limiting Elastic Model ⋮ Plane-strain fracture with curvature-dependent surface tension: mixed-mode loading ⋮ Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid ⋮ Interaction of Multiple Plane Straight Fractures in the Presence of the Steigmann--Ogden Surface Energy ⋮ Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack ⋮ A note on fracture models incorporating surface elasticity ⋮ On the nonlinear elastic response of bodies in the small strain range ⋮ Fracture and singularities of the mass-density gradient field ⋮ A Rigid Stamp Indentation into a Semiplane with a Curvature-Dependent Surface Tension on the Boundary ⋮ Frictionless contact of a rigid stamp with a semi-plane in the presence of surface elasticity in the Steigmann–Ogden form ⋮ Elastic layer under axisymmetric surface loads and influence of surface stresses ⋮ Existence of solutions for the anti-plane stress for a new class of ``strain-limiting elastic bodies ⋮ Finite element simulation of quasi-static tensile fracture In nonlinear strain-limiting solids with the phase-field approach ⋮ Finite element model for a coupled thermo-mechanical system in nonlinear strain-limiting thermoelastic body ⋮ A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies ⋮ Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary
Cites Work
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- Spline collocation for singular integro-differential equations over (0,1)
- Coarse-graining and renormalization of atomistic binding relations and universal macroscopic cohesive behavior
- A bridging domain method for coupling continua with molecular dynamics
- Thermomechanics of the interface between a body and its environment
- Thermodynamics and the cohesive zone in fracture
- On the energy release rate in elastodynamic crack propagation
- An asymptotic expansion for product integration applied to Cauchy principal value integrals
- A continuum theory of elastic material surfaces
- On the energy release rate in quasi-static elastic crack propagation
- Thermodynamics and the Griffith criterion for brittle fracture
- Origin of crack tip instabilities
- On the crack mechanics of hard ferromagnets
- Configurational forces and the dynamics of planar cracks in three-dimensional bodies
- Fredholm-Volterra integral equation with singular kernel.
- On cavitation, configurational forces and implications for fracture in a nonlinearly elastic material
- Configurational forces and the basic laws for crack propagation.
- A molecular dynamics investigation of rapid fracture mechanics
- Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving
- Reformulation of elasticity theory for discontinuities and long-range forces
- An introduction to continuum mechanics
- Effective cohesive behavior of layers of interatomic planes
- Interfacial Transport Phenomena
- A Theory of Fracture Based Upon an Extension of Continuum Mechanics to the Nanoscale
- A THERMODYNAMICAL THEORY OF ELASTIC MATERIAL INTERFACES
- The Numerical Solution of Integral Equations of the Second Kind
- Spectral properties of diagonally dominant infinite matrices, part I
- An Analysis of 3D Crack Propagation using Cohesive Zone Models and the Theory of Configurational Forces
- A Galerkin solution to a regularized Cauchy singular integro-differential equation
- Integro-differential equation with Cauchy kernel
- The atomic dynamics of fracture
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