Advances in Applied Mechanics

Advances in Applied Mechanics

1st Edition - November 13, 2013

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  • Editor: Stephane Bordas
  • eBook ISBN: 9780123964663

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Advances in Applied Mechanics draws together recent significant advances in various topics in applied mechanics. Published since 1948, Advances in Applied Mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers working in the various branches of mechanics, but also of interest to the many who use the results of investigations in mechanics in various application areas, such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering.

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


Scientists and engineers working in mechanics and university librarians. Engineers requiring state-of-the-art reviews of current research topics in mechanics

Table of Contents

  • Contributors



    Chapter One. Continuum Theory for the Edge of an Open Lipid Bilayer



    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



    Chapter Two. A Variational Approach to Modeling Coupled Thermo-Mechanical Nonlinear Dissipative Behaviors


    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




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

Stephane Bordas
Stéphane is a multi-disciplinary computational and data science researcher, educator, mentor and coach. He was trained as an engineer and applied mathematician who has been teaching and researching in computational sciences since year 1999, in various capacities. He has been in the top 1% most cited in his field, worldwide since year 2015 (ISI Clarivate). Stéphane leads the Legato Team (, a multi-disciplinary team of about 30 researchers of a dozen nationalities. He is focusing on bringing the rigour of mathematics to bring intuition into the behaviour of complex systems. In particular, he pioneered new approaches to guarantee the quality of surgical simulation devices. The philosophy that he has been following is to create methodologies which translate across discipline boundaries. For example, the methodological backbone of his PhD thesis supports applications in fracture mechanics, nanoscale heterogeneities, biofilm growth, cancer growth, astrocytic metabolism and many others. Recently, his team has become involved, through the Institute of Advanced Studies of the University of Luxembourg in the nascent field of Computational Archaeology. Currently, one of the main focus points of his Team is to bring machine learning tools to bear on mathematical models of physical phenomena. In particular, his group develops adaptive data assimilation, model selection and discretisation optimisation schemes for the deformation of soft matter under large deformation with applications to surgical simulations and robotics. His team has been applying such ideas to programmable matter, multi-scale material modelling, wind energy harvesting, chemical engineering process optimisation, among others. Stéphane has taught over 5,000 students directly and given short courses and research seminars reaching thousands of attendees. He has extensive experience in one-to-one tutoring, mentoring and coaching across various disciplines. He has directly worked with over four hundred collaborators and over fifty different companies, worldwide, as an R&D consultant. Stéphane and his students and collaborators received multiple international prizes for their research and mentorship. He has raised over 28 million euros in research funding from the private and public sector alike. He is Fellow of the Learned Society of Wales, and recipient of the 2022 Eugenio Beltrami Senior Scientist Prize. He is Editor in Chief of Advances in Applied Mechanics, Executive Editor of Data-Centric Engineering, and Subject Editor for Applied Mathematical Modelling.

Affiliations and Expertise

Computational Mechanics, University of Luxembourg, Luxembourg

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