The Rational Mechanics of Flexible Or Elastic Bodies 1638 - 1788

The Rational Mechanics of Flexible Or Elastic Bodies 1638 - 1788
Author: Leonhard Euler
Publisher: Springer Science & Business Media
Total Pages: 442
Release: 1980
Genre: Mathematics
ISBN: 9783764314415

1 We search the concepts and methods ) of the theory of deformable sonds from GALILEO to LAGRANGE. Neither of them achieved much in our subject, but their works serve as 2 termini: With GALILEO's Discorsi in 1638 our matter begins ) (for this is the history of mathematical theory), while LAGRANGE's Mechanique Analitique closed the mechanics of 1) There are three major historical works that bear on our subject. The first is A history of the theory of elasticity and of the strength of materials by I. ToDHUNTER, "edited and completed" by K. PEARSON, Vol. I, Cambridge, 1886. Unfortunately it is necessary to give warning that this book fails to meet the standard set by the histories ToDHUNTER lived to finish. Much of what ToDHUNTER left seems to be rather the rough notes for a book than the book itself; the parts due to PEARSON are fortunately distinguished by square brackets. Researches prior to 1800 are disposed of in the first chapter, 79 pages long and almost entirely the work of PEARSON; as frontispiece to a work whose title restricts it to theory he saw fit to supply a possibly original pen drawing entitled "Rupture. Sur faces of Cast-Iron".

Mechanics in Material Space

Mechanics in Material Space
Author: Reinhold Kienzler
Publisher: Springer Science & Business Media
Total Pages: 302
Release: 2012-12-06
Genre: Science
ISBN: 3642570100

A novel and unified presentation of the elements of mechanics in material space or configurational mechanics, with applications to fracture and defect mechanics. The level is kept accessible for any engineer, scientist or graduate possessing some knowledge of calculus and partial differential equations, and working in the various areas where rational use of materials is essential.

Rational and Applied Mechanics

Rational and Applied Mechanics
Author: Nikolai Nikolaevich Polyakhov
Publisher: Springer Nature
Total Pages: 526
Release: 2021-08-30
Genre: Technology & Engineering
ISBN: 3030640612

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied​ for the integration of equations of motion, and the elements of special relativity theory are presented. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.

The Rational Spirit in Modern Continuum Mechanics

The Rational Spirit in Modern Continuum Mechanics
Author: Chi-Sing Man
Publisher: Springer Science & Business Media
Total Pages: 828
Release: 2006-01-19
Genre: Science
ISBN: 1402023081

Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.

Mechanics of Materials

Mechanics of Materials
Author: Barry J. Goodno
Publisher: Cengage Learning
Total Pages: 1184
Release: 2021
Genre: Materials
ISBN: 9780357377857

Develop a thorough understanding of the mechanics of materials - an area essential for success in mechanical, civil and structural engineering -- with the analytical approach and problem-solving emphasis found in Goodno/Gere�s leading MECHANICS OF MATERIALS, Enhanced, SI, 9th Edition. This book focuses on the analysis and design of structural members subjected to tension, compression, torsion and bending. This ENHANCED EDITION guides you through a proven four-step problem-solving approach for systematically analyzing, dissecting and solving structure design problems and evaluating solutions. Memorable examples, helpful photographs and detailed diagrams and explanations demonstrate reactive and internal forces as well as resulting deformations. You gain the important foundation you need to pursue further study as you practice your skills and prepare for the FE exam.