Abstract:
A system of plastic equilibrium equations is investigated, defined on a strip with an insert with a variable plasticity parameter along the strip, discontinuous at the boundary of the insert and the base material. This quasi-linear hyperbolic type system arises when studying the stress state of an inhomogeneous strip with a less durable interlayer during plane deformation under a tensile load. The Riemann invariants along the characteristics are approximately calculated. An analog of Hencky's first theorem is obtained. The conjugation problem for stresses at the contact boundary is approximately solved.
Keywords:discrete-continuous heterogeneous joints, stress state, plastic layer, weld joint, plane deformation, quasi-linear system of hyperbolic equations, Riemann invariants, Hencky integrals.
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