On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations

1967/01/01 by C. -C. Wang, Chengpeng Wang · 215 citations
Engineering · Materials Science · Mathematics · #Artificial intelligence #Calculus (dental) #Classical mechanics #Complex system #Composite Material Mechanics #Computer science #Elasticity and Material Modeling #Electromagnetism #Foundation (evidence) #Mathematical theory #Mathematics #Microstructure and mechanical properties #Physics #Quantum mechanics #Simple (philosophy) #Statistical physics #Theoretical physics

paper · doi:10.1007/bf00276434

published in Archive for Rational Mechanics and Analysis 27(1), 33-94 (Springer Science+Business Media)

openalex publication_date 1967/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Citations

• A theorem on holonomy
• Some geometrical relations in dislocated crystals
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen

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• Geometric characterization of hyperelastic uniformity
• Elasticity and Plasticity of Large Deformations
• A Riemannian approach to reduced plate, shell, and rod theories
• Elastic interactions between two-dimensional geometric defects
• The emergence of torsion in the continuum limit of distributed edge-dislocations
• Variational convergence of discrete geometrically-incompatible elastic models
• Geometrical frustration in nonlinear mechanics of screw dislocation. [europepmc]