Periphractic construction of elasticity and plasticity on Gurtin's generalized stress functions and the criterion for yielding

DOI10.1016/0020-7225(85)90018-7zbMath0562.73030OpenAlexW2053668624MaRDI QIDQ1057096

Kazuo Kondo

Publication date: 1985

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(85)90018-7

zbMATH Keywords

fourth order partial differential equationalternative approachanholonomic periphractic standpointGurtin's stress functionsin terms of average metricKilling's fieldKlein-Goldon fieldmicrophysical restriction on variational degrees of freedommultidimensional picture for the yielding manifoldnon-Beltrami featureperiphractic construction of elasticity and plasticitythree-dimensional version of Einstein's coordinates.

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Plastic materials, materials of stress-rate and internal-variable type (74C99) Elastic materials (74B99) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items (1)

Stress functions for continua with couple stresses

Cites Work

• Non-Riemannian and Finslerian approaches to the theory of yielding
• On the analytical and physical foundations of the theory of dislocations and yielding by the differential geometry of continua
• A generalization of the Beltrami stress functions in continuum mechanics
• Die Spannungsfunktionen des dreidimensionalen Kontinuums und des elastischen Körpers
• Ricci-Calculus
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Periphractic construction of elasticity and plasticity on Gurtin's generalized stress functions and the criterion for yielding