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- W2557429669 abstract "Direct approach was extended beyond the scope of elastic shakedown to determine the parameters (strain increments and stress state) of an arbitrary steady elasto-plastic cycle under prescribed loading in ratcheting, alternating flow or in combination of the both. The resulting convex constrained optimization problem was formulated making use of finite element discretization. The object function equals to the work of fictitious elastic stresses on the plastic strains subtracted from the energy dissipation, with both terms being integrated over the cycle time and spatially over the body. The constraint system includes equality constraints of plastic strain incompressibility, cycle closure and initial residual stress self-balance, which are enforced by means of quadratic penalties; and inequality ones ensuring that the total stress is admissible. For testing purposes the Bree problem was solved employing the optimization formulation, with the resulting plastic strains over each half-cycle agreeing well with the analytical solution to the problem, even though a cycle was discretized only by two time instants." @default.
- W2557429669 created "2016-12-08" @default.
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- W2557429669 date "2013-01-01" @default.
- W2557429669 modified "2023-09-26" @default.
- W2557429669 title "A Finite Element Formulation of Minimization Problem for Steady Plastic Cycling" @default.
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