Mathematical Models in Solid Mechanics. Volume II. Further Models in Elasticity and Plasticity

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VolII_Further_Models _Elasticity_Plasticity_PBarral.pdf (1.96 MB)
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URI: https://hdl.handle.net/10347/42359

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2025-06-30

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Universidade de Santiago de Compostela, Departamento de Matemática Aplicada
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Abstract

This text is the continuation of the handbook Modelos Matemáticos en Mecánica de Sólidos. Tomo I: Elasticidad Lineal by Prof. P. Quintela (https://hdl.handle.net/10347/42358). It contains the latest version of notes on the final topics of the Solid Mechanics subject of the Master’s degree in Industrial Mathematics, which is taught jointly by the universities of Santiago de Compostela, A Coruña, Vigo, Carlos III and the Politechnique University of Madrid. First volume focuses on mathematical models relating to static and dynamic problems in solid mechanics associated with linear elastic and isotropic materials. This second volume introduces more general behaviour laws.

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In Chapter 11, the behaviour law in anisotropic linear elasticity is deduced, with a focus on the orthotropic case. Thermal effects are then incorporated into the linear elasticity model studied in Volume I to obtain thermoelasticity models. Chapter 12 studies permanent deformations and their formulation using the theory of plasticity. The concepts of isotropic and kinematic hardening and their mathematical formulation are analysed in one and three-dimensional cases. Finally, Chapter 13 provides an overview of the most common contact con ditions in Solid Mechanics Modelling.

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Linear elasticity| Anisotropy| Thermoelasticity| Plasticity| Contact conditions

Bibliographic citation

Barral, P. (2025) Mathematical Models in Solid Mechanics. Volume II: Further Models in Elasticity and Plasticity. Universidade de Santiago de Compostela, Departamento de Matemática Aplicada. Repositorio MINERVA. AEA-Materiales didácticos. https://hdl.handle.net/10347/42359

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