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This book attempts to acquaint engineers who have mastered the essentials of structural mechanics with the mathematical foundation of their science, of structural mechanics of continua. The prerequisites are modest. A good working knowledge of calculus is sufficient. The intent is to develop a consistent and logical framework of theory which will provide a general understanding of how mathematics forms the basis of structural mechanics. Emphasis is placed on a systematic, unifying and rigorous treatment. Acknowledgements The author feels indebted to the engineers Prof. D. Gross, Prof. G. Mehlhorn and Prof. H. G. Schafer (TH Darmstadt) whose financial support allowed him to follow his inclina...
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Announcements for the following year included in some vols.
Vols. 2, 4-11, 62-68 include the Society's Membership list; v. 55-80 include the Journal of applied mechanics (also issued separately) as contributions from the Society's Applied Mechanics Division.
This textbook provides an overview of the fundamental concepts in continuum mechanics for application in real material behavior analysis. The contents cover basic topics such as Kinematics—the motion of any material point representing a material body using the Lagrangian and Eulerian approaches; stress tensors—stress analysis of material bodies experiencing small deformations; mathematical modeling of material properties in continuum mechanics; balance principles—transfer of specific mechanical properties from a system to its environment or vice-versa through the system boundary. The textbook also contains pedagogical elements such as worked examples and end-of-chapter exercises which are derived from typical engineering problems, and the solution manual so that students can solve computational problems by running simulations on Matlab or Python on their own. This benefits engineering students understand the concept of continuum mechanics for future analysis using finite-element analysis, boundary element method or any other computational methods.