Kinematics of media with continuously changing topology

DOI10.1007/BF00672929zbMath0713.73003MaRDI QIDQ750190

Isaak A. Kunin

Publication date: 1990

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

diffeomorphismscoarse-grainingchaotic and turbulent motionscyclic motions of dislocationsdislocation density-fluxgauge theoretic approachgauge-theoretic interpretationgeneralized motionsmoving defectssubmanifold of a higher- dimensional space

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Differential geometric aspects in kinematics (53A17) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Differential topological aspects of diffeomorphisms (57R50) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items (7)

On Finsler geometry and applications in mechanics: review and new perspectives ⋮ Dislocation theory as a physical field theory ⋮ Stability approach to testing the constitutive relations of superplasticity ⋮ Saturated porous continua in the frame of hybrid description ⋮ On extracting physical information from mathematical models of chaotic and complex systems ⋮ On the geometrical characteristics of chaotic dynamics. I ⋮ Optimal chaos control and discretization algorithms

Cites Work

• Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian)
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A gauge theory of dislocations and disclinations
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