Analysis of Evolving Deformation Microstructures in Instable Inelastic Solids Based on Energy Relaxation Methods

An incremental variational formulation for the constitutive response of dissipative materialsis applied to the stability analysis of inelastic solids. The material stability is governed by weak convexity properties of an incremental stress potential obtained from a local minimization problem. As a result of instability deformation microstructures develop and are resolved by energy relaxation methods. We develop relaxation analyses in terms of rank–one convexifications and make comparisons of results obtained from different orders of lamination as well as different kinematic degrees of freedom of the laminates.
XXI International Congress of Theoretical and Applied Mechanics ICTAM, (15 - 21 Ağustos 2004)


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Citation Formats
E. Gürses, “Analysis of Evolving Deformation Microstructures in Instable Inelastic Solids Based on Energy Relaxation Methods,” presented at the XXI International Congress of Theoretical and Applied Mechanics ICTAM, (15 - 21 Ağustos 2004), Varşova, Polonya, 2004, Accessed: 00, 2021. [Online]. Available: