Energy Principles in Elasticity and Their Applications

Author: Fu Baolian
Publisher:
Publish Date: 2004-06-01
Features: This book systematically introduces the energy principles and their applications in elasticity. It includes certain classical and famous energy principles and energy methods; the modified Castigliano theorem and its applications, the theory of reciprocal work and the reciprocal work method, the generalized variational principles of thermoelasticity and a family of variational principles with mixed variables and their applications; the deformation energy principle in the theory of finite deformation elasticity, the theory of reciprocal work and its applications, and a family of variational principles with mixed variables. The theories and methods proposed in this book are particularly suitable for solving problems with complex boundary conditions, such as solving the bending of a complex boundary condition rectangular plate using the modified Castigliano theorem; applying the minimum potential energy principle with mixed variables to solve the plane stress problem of a complex boundary condition rectangular plate; and determining the displacement solution of a complex boundary condition cube using the reciprocal work method. Additionally, the book systematically solves problems such as equilibrium, vibration, and stability of complex boundary condition rectangular plates, providing corresponding data and charts. This book can serve as a reference for teachers and students of civil engineering, mechanics, aerospace, and mechanical engineering majors in universities, as well as science and technology personnel in related fields.