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Author : Rudolph Ernest Langer
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)
Download or read book Partial Differential Equations and Continuum Mechanics written by Rudolph Ernest Langer and published by . This book was released on 1961 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rudolph E. Langer
Publisher :
ISBN 13 : 9780608102573
Total Pages : 413 pages
Book Rating : 4.1/5 (25 download)
Download or read book Partial Differential Equations and Continuum Mechanics written by Rudolph E. Langer and published by . This book was released on with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergey P. Kiselev
Publisher : Springer Science & Business Media
ISBN 13 : 1461215722
Total Pages : 587 pages
Book Rating : 4.4/5 (612 download)
Download or read book Foundations of Fluid Mechanics with Applications written by Sergey P. Kiselev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid mechanics (FM) is a branch of science dealing with the investi gation of flows of continua under the action of external forces. The fundamentals of FM were laid in the works of the famous scientists, such as L. Euler, M. V. Lomonosov, D. Bernoulli, J. L. Lagrange, A. Cauchy, L. Navier, S. D. Poisson, and other classics of science. Fluid mechanics underwent a rapid development during the past two centuries, and it now includes, along with the above branches, aerodynamics, hydrodynamics, rarefied gas dynamics, mechanics of multi phase and reactive media, etc. The FM application domains were expanded, and new investigation methods were developed. Certain concepts introduced by the classics of science, however, are still of primary importance and will apparently be of importance in the future. The Lagrangian and Eulerian descriptions of a continuum, tensors of strains and stresses, conservation laws for mass, momentum, moment of momentum, and energy are the examples of such concepts and results. This list should be augmented by the first and second laws of thermodynamics, which determine the character and direction of processes at a given point of a continuum. The availability of the conservation laws is conditioned by the homogeneity and isotrop icity properties of the Euclidean space, and the form of these laws is related to the Newton's laws. The laws of thermodynamics have their foundation in the statistical physics.
Author :
Publisher : Elsevier
ISBN 13 : 0080871410
Total Pages : 623 pages
Book Rating : 4.0/5 (88 download)
Download or read book Contemporary Developments in Continuum Mechanics and Partial Differential Equations written by and published by Elsevier. This book was released on 1978-01-01 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary Developments in Continuum Mechanics and Partial Differential Equations
Author : Rudolph E. Langer
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (17 download)
Download or read book Partial differential equations and continuum mechanics written by Rudolph E. Langer and published by . This book was released on 1961 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gui-Qiang G. Chen
Publisher : Springer
ISBN 13 : 331918573X
Total Pages : 384 pages
Book Rating : 4.3/5 (191 download)
Download or read book Differential Geometry and Continuum Mechanics written by Gui-Qiang G. Chen and published by Springer. This book was released on 2015-08-11 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measurement of microstructure, defects, dislocations, surface energies, and nematic liquid crystals. Compensated compactness in partial differential equations is also treated. The volume is intended for specialists and non-specialists in pure and applied geometry, continuum mechanics, theoretical physics, materials and engineering sciences, and partial differential equations. It will also be of interest to postdoctoral scientists and advanced postgraduate research students. These proceedings include revised written versions of the majority of papers presented by leading experts at the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers have been peer reviewed.
Author : madison International conference on partial differential equations and continuum mechanics
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)
Download or read book Partial Differential Equations and Continuum Mechanics: Proceedings of an International Conference Conducted by the Mathematics Research Center... Madison, June 7-15, 1960 written by madison International conference on partial differential equations and continuum mechanics and published by . This book was released on 1961 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : University of Wisconsin--Madison. Mathematics Research Center
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (221 download)
Download or read book Partial Differential Equations and Continuum Mechanics written by University of Wisconsin--Madison. Mathematics Research Center and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ellad B. Tadmor
Publisher : Cambridge University Press
ISBN 13 : 1107008263
Total Pages : 373 pages
Book Rating : 4.1/5 (7 download)
Download or read book Continuum Mechanics and Thermodynamics written by Ellad B. Tadmor and published by Cambridge University Press. This book was released on 2012 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
Author : Stuart S. Antman
Publisher : Springer Science & Business Media
ISBN 13 : 3642837433
Total Pages : 820 pages
Book Rating : 4.6/5 (428 download)
Download or read book Analysis and Continuum Mechanics written by Stuart S. Antman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 39 papers in this collection are devoted mostly to the exact mathematical analysis of problems in continuum mechanics, but also to problems of a purely mathematical nature mainly connected to partial differential equations from continuum physics. All the papers are dedicated to J. Serrin and were originally published in the "Archive of Rational Mechanics and Analysis".
Author : S.N. Antontsev
Publisher : Springer Science & Business Media
ISBN 13 : 9400903375
Total Pages : 180 pages
Book Rating : 4.4/5 (9 download)
Download or read book Energy Methods in Continuum Mechanics written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, from March 21 to March 23, 1994. It is well known that the conservation laws and the constitutive equations of Continuum Mechanics lead to complicated coupled systems of partial differential equations to which, as a rule, one fails to apply the techniques usually employed in the studies of scalar uncoupled equations such as, for instance, the maximum principle. The study of the qualitative behaviour of solutions of the systems re quires different techniques, among others, the so called, Energy Methods where the properties of some integral of a nonnegative function of one or several unknowns allow one to arrive at important conclusions on the envolved unknowns. This vol ume presents the state of the art in such a technique. A special attention is paid to the class of Free Boundary Problems. The organizers are pleased to thank the European Science Foundation (Pro gram on Mathematical treatment of free boundary problems), the DGICYT (Spain), the FICYT (Principado de Asturias, Spain) and the Universities of Oviedo and Complutense de Madrid for their generous financial support. Finally, we wish to thank Kluwer Academic Publishers for the facilities received for the publication of these Proceedings.
Author : Andreas Öchsner
Publisher : Springer Nature
ISBN 13 : 3030353117
Total Pages : 92 pages
Book Rating : 4.0/5 (33 download)
Download or read book Partial Differential Equations of Classical Structural Members written by Andreas Öchsner and published by Springer Nature. This book was released on 2019-11-07 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: The derivation and understanding of Partial Differential Equations relies heavily on the fundamental knowledge of the first years of scientific education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills. Thus, it is a challenging topic for prospective engineers and scientists. This volume provides a compact overview on the classical Partial Differential Equations of structural members in mechanics. It offers a formal way to uniformly describe these equations. All derivations follow a common approach: the three fundamental equations of continuum mechanics, i.e., the kinematics equation, the constitutive equation, and the equilibrium equation, are combined to construct the partial differential equations.
Author : Gennadii V. Demidenko
Publisher : Springer Nature
ISBN 13 : 3030388700
Total Pages : 378 pages
Book Rating : 4.0/5 (33 download)
Download or read book Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy written by Gennadii V. Demidenko and published by Springer Nature. This book was released on 2020-04-03 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a liber amicorum to Professor Sergei Konstantinovich Godunov and gathers contributions by renowned scientists in honor of his 90th birthday. The contributions address those fields that Professor Godunov is most famous for: differential and difference equations, partial differential equations, equations of mathematical physics, mathematical modeling, difference schemes, advanced computational methods for hyperbolic equations, computational methods for linear algebra, and mathematical problems in continuum mechanics.
Author : Etienne Emmrich
Publisher : Walter de Gruyter
ISBN 13 : 3110212102
Total Pages : 297 pages
Book Rating : 4.1/5 (12 download)
Download or read book Analytical and Numerical Aspects of Partial Differential Equations written by Etienne Emmrich and published by Walter de Gruyter. This book was released on 2009-07-14 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text contains a series of self-contained reviews on the state of the art in different areas of partial differential equations, presented by French mathematicians. Topics include qualitative properties of reaction-diffusion equations, multiscale methods coupling atomistic and continuum mechanics, adaptive semi-Lagrangian schemes for the Vlasov-Poisson equation, and coupling of scalar conservation laws.
Author : Martin Kružík
Publisher : Springer
ISBN 13 : 3030020657
Total Pages : 617 pages
Book Rating : 4.0/5 (3 download)
Download or read book Mathematical Methods in Continuum Mechanics of Solids written by Martin Kružík and published by Springer. This book was released on 2019-03-02 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.
Author : Giuseppe Butazzo
Publisher : Springer Science & Business Media
ISBN 13 : 146122196X
Total Pages : 149 pages
Book Rating : 4.4/5 (612 download)
Download or read book Nonlinear Analysis and Continuum Mechanics written by Giuseppe Butazzo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems and methods as the Gilbarg- Serrin theorem on isoated singularities, the Serrin symmetry theorem, the Alexandrov-Serrin moving-plane technique, The Peletier-Serrin uniqueness theorem, and the Serrin integal of the calculus of variations. Serrin has also been noted for the elegance of his mathematical work and for the effectiveness of his teaching and collaborations.
Author : Bilen Emek Abali
Publisher : Springer
ISBN 13 : 9811024448
Total Pages : 324 pages
Book Rating : 4.8/5 (11 download)
Download or read book Computational Reality written by Bilen Emek Abali and published by Springer. This book was released on 2016-10-22 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory of continuum mechanics for mechanical, thermodynamical, and electrodynamical systems. It shows how to obtain governing equations and it applies them by computing the reality. It uses only open-source codes developed under the FEniCS project and includes codes for 20 engineering applications from mechanics, fluid dynamics, applied thermodynamics, and electromagnetism. Moreover, it derives and utilizes the constitutive equations including coupling terms, which allow to compute multiphysics problems by incorporating interactions between primitive variables, namely, motion, temperature, and electromagnetic fields. An engineering system is described by the primitive variables satisfying field equations that are partial differential equations in space and time. The field equations are mostly coupled and nonlinear, in other words, difficult to solve. In order to solve the coupled, nonlinear system of partial differential equations, the book uses a novel collection of open-source packages developed under the FEniCS project. All primitive variables are solved at once in a fully coupled fashion by using finite difference method in time and finite element method in space.
