Singular asymptotics of integrals and the near-field radiated from nonuniformly moving dislocations

DOI10.1007/BF00281350zbMath0669.73013OpenAlexW2007260011MaRDI QIDQ1119045

Constantine J. Callias, Xanthippi Markenscoff

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281350

zbMATH Keywords

existence theoremstress fieldscrew dislocationsasymptotic series expansions of integralsestimation of the near fieldone-dimensional integralssingular asymptotic behaviour

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60) Asymptotics of solutions to integral equations (45M05) Theoretical approximation of solutions to integral equations (45L05) Elastic materials (74B99)

Related Items

Regular singular asymptotics, Singular stress amplification between two holes in tension, Evolution equation of moving defects: dislocations and inclusions, The Logarithmic Singularity of a Generally Accelerating Dislocation from the Dynamic Energy—Momentum Tensor, Uniformly moving screw dislocation in strain gradient elasticity, The self-force and effective mass of a generally accelerating dislocation. I: Screw dislocation, Analysis for a screw dislocation accelerating through the shear-wave speed barrier, The near-field of an accelerating dislocation in an anisotropic solid, Computational 3-dimensional dislocation elastodynamics, Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• The heat equation with singular coefficients. I: Operators of the form \(- d^ 2/dx^ 2+k/x^ 2\) in dimension 1
• The transient motion of a nonuniformly moving dislocation
• The nonuniformly moving edge dislocation
• Elastic precursor decay and radiation from nonuniformly moving dislocations
• On the uniqueness of plane elastodynamic solutions for running cracks
• The nonuniform motion of a supersonic dislocation
• On the Equations of Motion of Crystal Dislocations
• The Equation of Motion of a Dislocation