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Foundations of Geometric Continuum Mechanics : Geometry and Duality in Continuum Mechanics
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ISBN: 3031356551 3031356543 Year: 2023 Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser,

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This monograph presents the geometric foundations of continuum mechanics. An emphasis is placed on increasing the generality and elegance of the theory by scrutinizing the relationship between the physical aspects and the mathematical notions used in its formulation. The theory of uniform fluxes in affine spaces is covered first, followed by the smooth theory on differentiable manifolds, and ends with the non-smooth global theory. Because continuum mechanics provides the theoretical foundations for disciplines like fluid dynamics and stress analysis, the author’s extension of the theory will enable researchers to better describe the mechanics of modern materials and biological tissues. The global approach to continuum mechanics also enables the formulation and solutions of practical optimization problems. Foundations of Geometric Continuum Mechanics will be an invaluable resource for researchers in the area, particularly mathematicians, physicists, and engineers interested in the foundational notions of continuum mechanics.


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Advances in Fluid Mechanics
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ISBN: 9789811914386 Year: 2022 Publisher: Singapore Springer Nature Singapore :Imprint: Springer

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Contact problems for soft, biological and bioinspired materials
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ISBN: 3030851745 3030851753 Year: 2022 Publisher: Cham, Switzerland : Springer,

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This book contains contributions from leading researchers in biomechanics, nanomechanics, tribology, contact mechanics, materials science and applications on various experimental techniques including atomic force microscopy (AFM) for studying soft, biomimetic and biological materials and objects. Biologists, physicists, researchers applying methods of contact mechanics and researchers testing materials using indentation techniques along with many other applied scientists will find this book a useful addition to their libraries. Moreover, several reviews in this book are written as introductions to several important and rather sophisticated research areas such as depth-sensing indentation, studying of biological cells by AFM probes, mechanics of adhesive contact and contact between viscoelastic (hereditary elastic) solids. The book containing new theoretical models, results of experimental studies and numerical simulations, along with reviews of above mentioned areas of contact mechanics in application to biological systems, would be beneficial for researchers in many areas of biology, medicine, engineering, mechanics and biomimetics.


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Advances in fluid mechanics : modelling and simulations
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ISBN: 9811914370 9811914389 Year: 2022 Publisher: Singapore : Springer,

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This book provides invited and reviewed contributions in mathematical, physical and experimental modelling and simulations in all fluid mechanics branches.

Nonlinear continuum mechanics for finite element analysis
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ISBN: 9780521838702 9780511755446 0521838703 1139637177 1107174988 1281370428 9786611370428 0511394039 0511393210 0511391900 0511755449 0511390726 0511394683 Year: 2008 Publisher: Cambridge Cambridge University Press

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Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.


Book
Mathematics of open fluid systems
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ISBN: 3030947920 3030947939 Year: 2022 Publisher: Cham, Switzerland : Birkhäuser,


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Recent advances in mechanics and fluid-structure interaction with applications : the Bong Jae Chung Memorial volume
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ISBN: 3031143248 303114323X Year: 2022 Publisher: Cham, Switzerland : Birkhäuser,


Book
Waves in flows : the 2018 prague-sum workshop lectures
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ISBN: 3030681440 3030681432 Year: 2021 Publisher: Cham, Switzerland : Birkhäuser,

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This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include: Chemorepulsion Compressible Navier-Stokes systems Newtonian fluids Fluid-structure interactions Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involved fluid mechanics.


Book
An Introduction to Fluid Mechanics
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ISBN: 3319918214 3319918206 Year: 2019 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This textbook provides a concise introduction to the mathematical theory of fluid motion with the underlying physics. Different branches of fluid mechanics are developed from general to specific topics. At the end of each chapter carefully designed problems are assigned as homework, for which selected fully worked-out solutions are provided. This book can be used for self-study, as well as in conjunction with a course in fluid mechanics.

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