Advances in Applied Mechanics
Description
Key Features
- Covers all fields of the mechanical sciences
- Highlights classical and modern areas of mechanics that are ready for review
- Provides comprehensive coverage of the field in question
Readership
Table of Contents
Contributors
Preface
References
Chapter One. Continuum Theory for the Edge of an Open Lipid Bilayer
Abstract
Nomenclature
1 Introduction
2 Mathematical Preliminaries
3 Variations of Geometric Quantities, Integrals over Surfaces and Curves, and Volume
4 Variational Derivation of the Equilibrium Equations of a Lipid Vesicle
5 Variational Derivation of the Equilibrium Equations of an Open Lipid Bilayer with Edge Energy
6 Force and Bending Moment Exerted by an Open Lipid Bilayer on Its Edge
7 Alternative Treatment of the Edge
8 Summary
Acknowledgments
References
Chapter Two. A Variational Approach to Modeling Coupled Thermo-Mechanical Nonlinear Dissipative Behaviors
Abstract
1 Introduction
2 General Modeling Framework
3 Variational Formulation of Coupled Thermo-Mechanical Boundary-Value Problems
4 Thermo-Visco-Elasticity
5 Thermo-Elasto-Visco-Plasticity
6 Numerical Approximation Methods
7 Examples of Applications
8 Conclusions
Acknowledgements
References
Index
Product details
- No. of pages: 144
- Language: English
- Copyright: © Academic Press 2013
- Published: November 13, 2013
- Imprint: Academic Press
- eBook ISBN: 9780123964663
About the Serial Editor
Stephane Bordas
Born in Paris, France, in 1975, Stéphane joined in 1999 a joint graduate programme of the French Institute of Technology (Ecole Spéciale des Travaux Publics) and the American Northwestern University. In 2003, he graduated in Theoretical and Applied Mechanics with a Ph.D. from Northwestern University under the guidance of Professor Brian Moran. Between 2003 and 2006, he was at the Laboratory of Structural and Continuum Mechanics at the Swiss Federal Institute of Technology in Lausanne, Switzerland, working under the support of Professor Thomas Zimmermann. In 2006, he became permanent lecturer at Glasgow University’s Civil Engineering Department.
Stéphane joined the Computational Mechanics team at Cardiff University on 1st September 2009, as a Professor in Computational Mechanics and directed the institute of Mechanics and Advanced Materials (http://www.engin.cf.ac.uk/research/resInstitute.asp?InstNo=13) from October 2010 to November 2013. He is the Editor of the book series “Advances in Applied Mechanics” since July 2013. On November 1st, 2013, he joined the University of Luxembourg as a Professor in Computational Mechanics. http://wwwen.uni.lu/recherche/fstc/research_unit_in_engineering_science_rues/members/stephane_bordas?page=Publications http://scholar.google.fr/citations?hl=fr&user=QKZBZ48AAAAJ
The main research axes of his team include:
- free boundary problems and problems involving complex geometries, in particular moving boundaries : fracture and cutting mechanics, biofilms, tumours… This research direction requires, in particular, devising efficient numerical methods to treat spatially evolving discontinuities, singularities or boundary layers, e.g. enriched/extended finite element methods, meshless/meshfree methods, mixed methods ; this requires also to handle complex geometries, e.g. through generalised isogeometric analysis.
- ‘a posteriori’ discretisation and model error control, rationalisation of the computational expense : multi-scale homogenisation, algebraic model reduction (proper orthogonal and generalised decomposition) ; with special focus on non-reducible problems, e.g. cutting, fracture, front propagation.
The main applications of those two research avenues have been
- real-time simulation of soft tissue cutting
- life-time prédiction for heterogeneous materials : composites, elastomers, concrete
Stéphane’s keen interest is to actively participate in innovation, technological transfer as well as software tool generation. This has been done through a number of joint ventures with various industrial partners (Bosch GmbH, Cenaero, inuTech GmbH, Siemens-LMS, Soitec SA) and the release of open-source software, available on SourceForge (http://sourceforge.net/users/cmechanicsos). He has been collaborating with over 110 academic partners over the last 10 years.
In 2012, Stéphane was awarded an ERC Starting Independent Research Grant (RealTcut), with Pierre Kerfriden as main collaborator, to address the need for surgical simulators with a computational mechanics angle with a focus on the multi-scale simulation of cutting of heterogeneous materials in real time. His publications are in open access here: http://orbilu.uni.lu/simple-search?query=bordas