Stéphane P. a. Bordas - Böcker

Advances in Applied Mechanics draws together recent, significant advances in various topics in applied mechanics. Published since 1948, the book aims to provide authoritative review articles on topics in the mechanical sciences. While the book is ideal for scientists and engineers working in various branches of mechanics, it is also beneficial to professionals who use the results of investigations in mechanics in various applications, such as aerospace, chemical, civil, environmental, mechanical, and nuclear engineering.

Includes contributions from world-leading experts that are acquired by invitation only Beneficial to scientists, engineers, and professionals who use the results of investigations in mechanics in various applications, such as aerospace, chemical, civil, environmental, mechanical, and nuclear engineering Covers not only traditional topics, but also important emerging fields

Advances in Applied Mechanics, Volume 50, draws together recent, significant advances in various topics in applied mechanics. Published since 1948, the book aims to provide authoritative review articles on topics in the mechanical sciences. While the book is ideal for scientists and engineers working in various branches of mechanics, it is also beneficial to professionals who use the results of investigations in mechanics in various applications, such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering.

Includes contributions from world-leading experts that are acquired by invitation only Beneficial to scientists, engineers and professionals who use the results of investigations in mechanics in various applications, such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering Covers not only traditional topics, but also important emerging fields

Advances in Applied Mechanics, Volume 55 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on topics such as Towards stochastic multi-scale methods in continuum solid mechanics, Fracture in soft elastic materials: Continuum description, molecular aspects and applications, Bio-Chemo-Mechanical Coupling Models of Soft Biological Materials: A Review, Viscoelasticity and cell swirling motion, Model selection and sensitivity analysis in the biomechanics of soft tissues: A case study on the human knee meniscus, Oncology and mechanics: Landmark studies and promising clinical. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Advances in Applied Mechanics series Edited by some of the best scientists in the field

Advances in Applied Mechanics, Volume 56 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on From Digital Control to Digital Twins in Medicine: A brief review and future perspectives, Predicting Nonlinear Deformation and Yarn Kinematics of Plain Weave Fabrics with Multiscale Recursive Micromechanics, Mechanics Theories for Anisotropic or Composite Materials, Historical purview and recent advances in fracture mechanics of elastomeric matrix composites, Mechanics constitutive models for viscoelastic solid materials: Development and a critical review, and more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Advances in Applied Mechanics series

Advances in Applied Mechanics, Volume 62 highlights new advances, with this volume presenting interesting chapters written by an international board of authors. Chapters in this release cover higher order discontinuous Galerkin finite element methods for the contact problems, Anisotropic Recovery-Based Error Estimators and Mesh Adaptation Tailored for Real-Life Engineering Innovation, Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations, and more.Other sections cover a posteriori error analysis for Finite Element approximation of some groundwater models Part I: Linear models, a posteriori error estimates for low frequency electromagnetic computations, and more.Covers multi-scale modelingIncludes updates on data-driven modelingPresents the latest information on large deformations of multi-scale materials

Advances in Applied Mechanics, Volume 63 highlights new advances, with this volume presenting interesting chapters written by an international board of authors. Chapters in this release cover higher order discontinuous Galerkin finite element methods for the contact problems, Anisotropic Recovery-Based Error Estimators and Mesh Adaptation Tailored for Real-Life Engineering Innovation, Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations, and more. Other sections cover a posteriori error analysis for Finite Element approximation of some groundwater models Part I: Linear models, a posteriori error estimates for low frequency electromagnetic computations, and more.Covers multi-scale modelingIncludes updates on data-driven modelingPresents the latest information on large deformations of multi-scale materials

PARTITION OF UNITY METHODS Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field While it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. Partition of Unity Methods delivers a detailed overview of its fundamentals, in particular the extended finite element method for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher dimensional problems. This book allows readers to fully understand and utilize XFEM just as it becomes ever more crucial to industry practice. Partition of Unity Methods explores all essential topics on this key new technology, including: Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEMThe basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vectorAn introduction to the fundamentals of enrichmentA revisitation of the partition of unity enrichmentA description of the geometry of enrichment features, with discussions of level sets for stationary interfacesApplication of XFEM to bio-film, gradient theories, and three dimensional crack propagationPerfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book.

This book provides a snapshot of the state of the art of the rapidly evolving field of integration of geometric data in finite element computations.The contributions to this volume, based on research presented at the UCL workshop on the topic in January 2016, include three review papers on core topics such as fictitious domain methods for elasticity, trace finite element methods for partial differential equations defined on surfaces, and Nitsche’s method for contact problems. Five chapters present original research articles on related theoretical topics, including Lagrange multiplier methods, interface problems, bulk-surface coupling, and approximation of partial differential equations on moving domains. Finally, two chapters discuss advanced applications such as crack propagation or flow in fractured poroelastic media.This is the first volume that provides a comprehensive overview of the field of unfitted finite element methods, including recent techniques such as cutFEM, traceFEM, ghost penalty, and augmented Lagrangian techniques. It is aimed at researchers in applied mathematics, scientific computing or computational engineering.