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• W2950250218 abstract "Mathematical models of biological growth commonly attempt to distinguish deformation due to growth from that due to mechanical stresses through a hypothesised multiplicative of the deformation gradient. Here we demonstrate that this hypothesis is fundamentally incompatible with shear-resistance and thus cannot accurately describe growing solids. Shifting the focus away from the kinematics of growth to the mechanical energy of the growing object enables us to propose an energy-deformation decomposition which accurately captures the influence of growth on mechanical energy. We provide a proof and computational verification of this for tissues with crystalline structure. Our arguments also apply to tissues with network structure. Due to the general nature of these results they apply to a wide range of models for growing systems." @default.
• W2950250218 created "2019-06-27" @default.
• W2950250218 creator A5054102593 @default.
• W2950250218 creator A5091766143 @default.
• W2950250218 date "2012-10-26" @default.
• W2950250218 modified "2023-09-27" @default.
• W2950250218 title "An Energy-Deformation Decomposition for Morphoelasticity" @default.
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• W2950250218 hasPublicationYear "2012" @default.
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