Lecture Notes in Engineering : : Introduction to Linearized Elasticity / / Kumbakonam Rajagopal.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1
• VerfasserIn: Rajagopal, Kumbakonam,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2024
• Year of Publication: 2023
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (XIV, 238 p.)
• Other title: Frontmatter --; Preface --; Contents --; Nomenclature --; 1 Introduction --; 2 Kinematics --; 3 Compatibility of the linearized strain --; 4 Frames, changes of frames, frame indifference --; 5 Elastic bodies --; 6 Material symmetry for elastic bodies --; 7 Elasto-statics --; 8 Stress functions --; 9 Axi-symmetric problems --; 10 Torsion of prismatic cylinders --; 11 Problems in cylindrical polar coordinates --; 12 Stress concentration --; 13 Concentrated loads --; 14 Complex variable methods --; 15 Approximations --; 16 Elastodynamics --; 17 Nonstandard approach to elasticity --; A Finite dimensional vector spaces --; B Tensor analysis --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110789515; 9783111332192; 9783111319292; 9783111318912; 9783111319124; 9783111318165
• DOI: 10.1515/9783110789515
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Kumbakonam Rajagopal.

These lecture notes deal with the behavior of elastic bodies subject to small displacement gradients, namely their linearized elastic response. The framework for describing the nonlinear response of elastic bodies is first put into place and then the linearization is carried out to delineate the status of the linearized theory of elasticity. Easy reading for upper-division and first-year engineering students is provided by a balanced combination of mathematical rigor and physical understanding. This lecture note grew out of a course that the author regularly teaches to undergraduate mechanical engineering students.