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Pré-Publication, Document De Travail Année : 2015

Nonconvex model of material growth. Mathematical theory

Résumé

The model of volumetric material growth is introduced in the framework of finite elasticity. The new results obtained for the model are presented with complete proofs. The state variables include the deformations, temperature and the growth factor matrix function. The existence of global in time solutions for the quasistatic deformations boundary value problem coupled with the energy balance and the evolution of the growth factor is shown. The mathematical results can be applied to a wide class of growth models in mechanics and biology.
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Dates et versions

hal-01203772 , version 1 (01-10-2015)

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  • HAL Id : hal-01203772 , version 1

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Jean-François Ganghoffer, Pavel Igorevich Plotnikov, Jan Sokolowski. Nonconvex model of material growth. Mathematical theory. 2015. ⟨hal-01203772⟩
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