# Shape optimization of an elasto-plastic body for the model with strain- hardening

Aplikace matematiky (1990)

- Volume: 35, Issue: 5, page 373-404
- ISSN: 0862-7940

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topPištora, Vladislav. "Shape optimization of an elasto-plastic body for the model with strain- hardening." Aplikace matematiky 35.5 (1990): 373-404. <http://eudml.org/doc/15638>.

@article{Pištora1990,

abstract = {The state problem of elasto-plasticity (for the model with strain-hardening) is formulated in terms of stresses and hardening parameters by means of a time-dependent variational inequality. The optimal design problem is to find the shape of a part of the boundary such that a given cost functional is minimized. For the approximate solutions piecewise linear approximations of the unknown boundary, piecewise constant triangular elements for the stress and the hardening parameter, and backward differences in time are used. Existence and uniqueness of a solution of the approximate state problem and existence of a solution of the approximate optimal design problem are proved. The main result is the proof of convergence of the approximations to a solution of the original optimal design problem.},

author = {Pištora, Vladislav},

journal = {Aplikace matematiky},

keywords = {domain optimization; time-dependent variational inequality; elasto-plasiicily; finite elements; uniqueness; state problem; optimal design; piecewise linear approximations of the unknown boundary; hardening parameter; backward differences in time; convergence; domain optimization; existence; uniqueness; state problem; time-dependent variational inequality; optimal design; piecewise linear approximations of the unknown boundary; piecewise constant triangular elements for the stress; hardening parameter; backward differences in time; convergence},

language = {eng},

number = {5},

pages = {373-404},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Shape optimization of an elasto-plastic body for the model with strain- hardening},

url = {http://eudml.org/doc/15638},

volume = {35},

year = {1990},

}

TY - JOUR

AU - Pištora, Vladislav

TI - Shape optimization of an elasto-plastic body for the model with strain- hardening

JO - Aplikace matematiky

PY - 1990

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 35

IS - 5

SP - 373

EP - 404

AB - The state problem of elasto-plasticity (for the model with strain-hardening) is formulated in terms of stresses and hardening parameters by means of a time-dependent variational inequality. The optimal design problem is to find the shape of a part of the boundary such that a given cost functional is minimized. For the approximate solutions piecewise linear approximations of the unknown boundary, piecewise constant triangular elements for the stress and the hardening parameter, and backward differences in time are used. Existence and uniqueness of a solution of the approximate state problem and existence of a solution of the approximate optimal design problem are proved. The main result is the proof of convergence of the approximations to a solution of the original optimal design problem.

LA - eng

KW - domain optimization; time-dependent variational inequality; elasto-plasiicily; finite elements; uniqueness; state problem; optimal design; piecewise linear approximations of the unknown boundary; hardening parameter; backward differences in time; convergence; domain optimization; existence; uniqueness; state problem; time-dependent variational inequality; optimal design; piecewise linear approximations of the unknown boundary; piecewise constant triangular elements for the stress; hardening parameter; backward differences in time; convergence

UR - http://eudml.org/doc/15638

ER -

## References

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