Mathematical Modelling in Solid Mechanics

• Corporate Author: SpringerLink (Online service)
• Other Authors: dell'Isola, Francesco (Editor), Sofonea, Mircea (Editor), Steigmann, David (Editor)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: Advanced Structured Materials, 69
• Subjects: Engineering.; Numerical analysis.; Computer mathematics.; Continuum mechanics.; Continuum Mechanics and Mechanics of Materials.; Computational Science and Engineering.; Numeric Computing.; Numerical and Computational Physics, Simulation.

This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechani...

Table of Contents:

• 1 Convergence of Hencky-type discrete beam model to Euler inextensible Elastica in large deformation: rigorous proof
• 2 Analysis of the deformation of Cosserat elastic shells using the dislocation density tensor
• 3 Flow relations and yield functions for dissipative strain-gradient plasticity
• 4 Finite elasto-plastic models for lattice defects in crystalline materials.