ADVANCES IN APPLIED MECHANICS VOLUME 21, Volume 21 (v. 21)

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Author : Erik van der Giessen
Genre : Computers

Summary : The Advances in Applied Mechanics book series 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. Highlights classical and modern areas of mechanics that are ready for review Provides comprehensive coverage of the field in question

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Genre : Science

Summary : Mechanics is defined as a branch of physics that focuses on motion and the reaction of physical systems to internal and external forces. This highly acclaimed series provides survey articles on the present state and future direction of research in important branches of applied solid and fluid mechanics.

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Genre : Fluid dynamics

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Author : Luc Dormieux
Genre : Technology & Engineering

Summary : This book deals with the mechanics and physics of fractures at various scales. Based on advanced continuum mechanics of heterogeneous media, it develops a rigorous mathematical framework for single macrocrack problems as well as for the effective properties of microcracked materials. In both cases, two geometrical models of cracks are examined and discussed: the idealized representation of the crack as two parallel faces (the Griffith crack model), and the representation of a crack as a flat elliptic or ellipsoidal cavity (the Eshelby inhomogeneity problem). The book is composed of two parts: - The first part deals with solutions to 2D and 3D problems involving a single crack in linear elasticity. Elementary solutions of cracks problems in the different modes are fully worked. Various mathematical techniques are presented, including Neuber-Papkovitch displacement potentials, complex analysis with conformal mapping and Eshelby-based solutions. - The second part is devoted to continuum micromechanics approaches of microcracked materials in relation to methods and results presented in the first part. Various estimates and bounds of the effective elastic properties are presented. They are considered for the formulation and application of continuum micromechanics-based damage models.

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Author : Jack R. Vinson
Genre : Technology & Engineering

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Author : Oana Cazacu
Genre : Technology & Engineering

Summary : A material's various proprieties is based on its microscopic and nanoscale structures. This book provides an overview of recent advances in computational methods for linking phenomena in systems that span large ranges of time and spatial scales. Particular attention is given to predicting macroscopic properties based on subscale behaviors. Given the book’s extensive coverage of multi-scale methods for modeling both metallic and geologic materials, it will be an invaluable reading for graduate students, scientists, and practitioners alike.

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Author : Theodore Y. Wu
Genre : Engineering mathematics

Summary : This acclaimed series provides survey articles on the present state and future direction of research in important branches of applied mechanics. Volume 31 provides the following fully referenced, and comprehensive articles: A New Integrable Shallow Water Equation discusses the initial value problem and soliton solutions for a newly discovered, completely integrable, dispersive shallow water equation as well as the elastic collision properties of the N-soliton solution The Onset and Development of Thermal Convection in Fully Developed Shear Flows focuses on a few basic states involving a Boussinesq fluid and fully developed forced flows, mainly of the Couette or Poiseuille type Vortex Element Methods for Flow Simulation covers vortex patches and filaments and a critical account of difficulties, limitations, and continuing efforts to improve the simulations of laminar or peturbulent flows through the use of vortex elementmethods Micromechanics Constitutive Description of Thermoelastic Martensitic Transformations is concerned with the micromechanics description of transformation plasticity, incorporating microstructure, crystallography, thermodynamics and micromechanics into the continuum formulation of the macroscopic constitutive behavior.