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ABSTRACT
The elements of a body whose stresses or strains or their combinations are governed by prescribed conditions are termed conditional joints. During a loading process, new contacts develop (locking of gaps) or existing connections become ineffective (plastification), causing physical nonlinearity of the body. This ideal elastic-plastic and locking behavior of materials can be described by “polygonal” constitutive laws and related nondifferentiable strain and complementary energy functional. Using convex analysis and the notion of subdifferential, constitutive laws of nondifferentiable but convex energy functionals with corresponding variational principles can be discussed generally. This paper combines conditional joints and the subdifferential connection of mathematics, including elastic, plastic, hardening, locking, and contact behavior of materials.
Notes
COMMUNICATED BY S. KALISZKY