# A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies

ESAIM: Control, Optimisation and Calculus of Variations (2008)

- Volume: 15, Issue: 2, page 245-278
- ISSN: 1292-8119

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topFiaschi, Alice. "A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies." ESAIM: Control, Optimisation and Calculus of Variations 15.2 (2008): 245-278. <http://eudml.org/doc/90913>.

@article{Fiaschi2008,

abstract = {
Rate-independent evolution for material models with nonconvex
elastic energies is studied without any spatial regularization of
the inner variable; due to lack of convexity, the model is developed
in the framework of Young measures. An existence result for the
quasistatic evolution is obtained in terms of compatible systems of
Young measures. We also show as this result can be equivalently
reformulated with probabilistic language and leads to the
description of the quasistatic evolution in terms of stochastic
processes on a suitable probability space.
},

author = {Fiaschi, Alice},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Quasistatic evolution; rate-independent processes; elastic materials; incremental problems; Young measures; existence; stochastic processes; probability space},

language = {eng},

month = {4},

number = {2},

pages = {245-278},

publisher = {EDP Sciences},

title = {A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies},

url = {http://eudml.org/doc/90913},

volume = {15},

year = {2008},

}

TY - JOUR

AU - Fiaschi, Alice

TI - A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2008/4//

PB - EDP Sciences

VL - 15

IS - 2

SP - 245

EP - 278

AB -
Rate-independent evolution for material models with nonconvex
elastic energies is studied without any spatial regularization of
the inner variable; due to lack of convexity, the model is developed
in the framework of Young measures. An existence result for the
quasistatic evolution is obtained in terms of compatible systems of
Young measures. We also show as this result can be equivalently
reformulated with probabilistic language and leads to the
description of the quasistatic evolution in terms of stochastic
processes on a suitable probability space.

LA - eng

KW - Quasistatic evolution; rate-independent processes; elastic materials; incremental problems; Young measures; existence; stochastic processes; probability space

UR - http://eudml.org/doc/90913

ER -

## References

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