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math.AP2025
Regularity lost: the fundamental limitations and constraint qualifications in the problems of elastoplasticity
Ivan Gudoshnikov
We investigate the existence and non-existence of a function-valued strain solution in various models of elastoplasticity from the perspective of the constraint-based ``dual'' form…
math.AP2024
Stress solution of static linear elasticity with mixed boundary conditions via adjoint linear operators
Ivan Gudoshnikov, Michal KÅÞek
We revisit stress problems in linear elasticity to provide a perspective from the geometrical and functionalanalytic points of view. For the static stress problem of linear elastic…