Progress in Continuum Mechanics

Progress in Continuum Mechanics PDF

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2023-11-05

Total Pages: 504

ISBN-13: 3031437365

DOWNLOAD EBOOK →

This book gives an insight into the current developments in the field of continuum mechanics. Twenty-five researchers present new theoretical concepts, e.g., better inclusion of the microstructure in the models describing material behavior. At the same time, there are also more applications for the theories in engineering practice. In addition to new theoretical approaches in continuum mechanics and applications, the book puts an emphasis on discussing multi-physics problems.

Continuum Mechanics Through the Twentieth Century

Continuum Mechanics Through the Twentieth Century PDF

Author: Gerard A Maugin

Publisher: Springer Science & Business Media

Published: 2013-04-08

Total Pages: 321

ISBN-13: 9400763530

DOWNLOAD EBOOK →

This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

Geometric Continuum Mechanics

Geometric Continuum Mechanics PDF

Author: Reuven Segev

Publisher: Springer Nature

Published: 2020-05-13

Total Pages: 416

ISBN-13: 3030426831

DOWNLOAD EBOOK →

This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, the contributors use notions from areas such as global analysis, algebraic topology, and geometric measure theory. Chapter authors are experts in their respective areas, and provide important insights from the most recent research. Organized into two parts, the book first covers kinematics, forces, and stress theory, and then addresses defects, uniformity, and homogeneity. Specific topics covered include: Global stress and hyper-stress theories Applications of de Rham currents to singular dislocations Manifolds of mappings for continuum mechanics Kinematics of defects in solid crystals Geometric Continuum Mechanics will appeal to graduate students and researchers in the fields of mechanics, physics, and engineering who seek a more rigorous mathematical understanding of the area. Mathematicians interested in applications of analysis and geometry will also find the topics covered here of interest.

Continuum Mechanics Progress in Fundamentals and Engineering Applications

Continuum Mechanics Progress in Fundamentals and Engineering Applications PDF

Author: Edvin Falk

Publisher:

Published: 2016-04-01

Total Pages: 292

ISBN-13: 9781681172866

DOWNLOAD EBOOK →

Materials, such as solids, liquids and gases, are composed of molecules separated by "empty" space. On a microscopic scale, materials have cracks and discontinuities. However, certain physical phenomena can be modeled assuming the materials exist as a continuum, meaning the matter in the body is continuously distributed and fills the entire region of space it occupies. A continuum is a body that can be continually sub-divided into infinitesimal elements with properties being those of the bulk material. Continuum mechanics, a branch of mechanics, deals with the analysis of the kinematics and the mechanical behavior of materials modeled as a continuous mass rather than as discrete particles. Continuum mechanics compacts with physical properties of solids and fluids which are independent of any particular coordinate system in which they are observed. These physical properties are then represented by tensors, which are mathematical objects that have the required property of being independent of coordinate system. These tensors can be expressed in coordinate systems for computational convenience. The continuum mechanics clearly brings out the general principles that are common to both solid and fluid mechanics. This subject also discusses necessity for assumption of solid and fluid (ie: in the form of constitutive equations). Further, the frame work of continuum mechanics is useful for understanding elasticity, plasticity, viscoelastcity and viscoplasticity. This book entitled Continuum Mechanics - Progress in Fundamentals and Engineering Applications summaries the advances of continuum mechanics in a number of defined areas. The book gives an emphasis on the application aspect.

Continuum Mechanics

Continuum Mechanics PDF

Author: A. J. M. Spencer

Publisher: Courier Corporation

Published: 2012-06-08

Total Pages: 194

ISBN-13: 0486139476

DOWNLOAD EBOOK →

Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.

Continuum Mechanics

Continuum Mechanics PDF

Author: P. Chadwick

Publisher: Courier Corporation

Published: 2012-08-08

Total Pages: 191

ISBN-13: 048613914X

DOWNLOAD EBOOK →

DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div

Advances in Continuum Mechanics and Thermodynamics of Material Behavior

Advances in Continuum Mechanics and Thermodynamics of Material Behavior PDF

Author: Donald E. Carlson

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 431

ISBN-13: 9401007284

DOWNLOAD EBOOK →

The papers included in this volume were presented at the Symposium on Advances in the Continuum Mechanics and Thermodynamics of Material Behavior, held as part of the 1999 Joint ASME Applied Mechanics and Materials Summer Conference at Virginia Tech on June 27-30, 1999. The Symposium was held in honor of Professor Roger L. Fosdick on his 60th birthday. The papers are written by prominent researchers in the fields of mechanics, thermodynamics, materials modeling, and applied mathematics. They address open questions and present the latest development in these and related areas. This volume is a valuable reference for researchers and graduate students in universities and research laboratories.

Views on Microstructures in Granular Materials

Views on Microstructures in Granular Materials PDF

Author: Pasquale Giovine

Publisher: Springer Nature

Published: 2020-11-09

Total Pages: 288

ISBN-13: 3030492672

DOWNLOAD EBOOK →

This contributed volume provides an up-to-date overview of the mechanics of granular materials, ranging from sparse media to soils. With chapters exploring state-of-the-art theoretical, experimental, and applied trends in the study of granular matter in various states, readers will be motivated to learn about the current challenges and potential avenues of exploration in this active area of research. Including a variety of perspectives, this volume will be a valuable reference for audiences in a number of fields. Specific topics covered include: X-ray tomography techniques for analyzing sand Evaluation of effective stress in unsaturated soils Hyper-plasticity Wave propagation in granular systems Partly saturated porous media Multi-scale approaches to the dynamics of sparse media Views on Microstructures in Granular Materials is an ideal resource for PhD students and researchers in applied mathematics, solid-state physics, civil engineering, and mechanical engineering.