dell'Isola / Sofonea / Steigmann Mathematical Modelling in Solid Mechanics

1. Auflage 2017
ISBN: 978-981-10-3764-1
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 69, 316 Seiten, eBook

Reihe: Advanced Structured Materials

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 mechanicsnonconvex variational analysis with emphasis to nonlinear solid and structural mechanicsnumerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineeringnumerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational toolsmechanics of fibre-reinforced materialsbehaviour of elasto-plastic materials accounting for the microstructural defectsdefinition of structural defects based on the differential geometry concepts or on the atomistic basisinteraction between phase transformation and dislocations at nano-scaleenergetic argumentsbifurcation and post-buckling analysis of elasto-plastic structuresengineering optimization and design, global optimization and related algorithmsThe book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.

Zielgruppe

Research

Autoren/Hrsg.

dell'Isola, Francesco

Sofonea, Mircea

Steigmann, David

Inhaltsverzeichnis

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.