Modern differential geometric techniques in the theory of continuous distributions of dislocations

DOI10.1007/BFb0063363zbMath0416.73001OpenAlexW571890813MaRDI QIDQ754680

Frederick Bloom

Publication date: 1979

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0063363

zbMATH Keywords

strainbody manifoldelastic bodydeformationhomogeneitystressconfigurationflowfluidforcesolidisotropy groupcontinuous distributions of dislocationsdifferential geometric techniquesmaterial connectionthermo-anelascity

Mathematics Subject Classification ID

Crystalline structure (74E15) Thermodynamics in solid mechanics (74A15) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Applications of global differential geometry to the sciences (53C80) Applications of local differential geometry to the sciences (53B50) Theory of constitutive functions in solid mechanics (74A20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

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