Mechanics of Solids and Shells: Theories and Approximations

ISBN-13: 9780367395698 / Angielski / Miękka / 2019 / 552 str.

Gerald Wempner; Demosthenes Talaslidis

Opis

Emphasizing the assumptions and approximations that lead to the mathematical formulations, Mechanics of Solids and Shells offers a practical, unified presentation of the foundations of the mechanics of solids, the behavior of deformable bodies and thin shells, and the properties of finite elements. It presents the fundamental kinematics, dynamics, energetics, and behavior of materials that build a foundation for discussions on elasticity. A chapter on energy principles forms the basis for the approximations and theories related to shells, and the final chapter introduces the finite element as an approximation device and builds a bridge between the continuum and the discrete assembly.

Spis treści

Introduction. Vectors, Tensors, and Curvilinear Coordinates. Deformation. Stress. Behavior of Materials. Principles of Work and Energy. Linear Theories of Isotropic Elasticity and Viscoelasticity. Differential Geometry of a Surface. Theory of Shells. Theories under the Kirchhoff-Love Constraint. Concepts of Approximation. References.

O autorze

Wempner, Gerald; Talaslidis, Demosthenes