Solid Mechanics: Variational Formulation and High Order Approximation
Purchasing Options
Features
- Formulates and approximates solid mechanical models starting from simple cases and proceeding to more complex nonlinear problems
- Offers an integrated approach of mechanical models, finite element approximation, and applications using MATLAB
- Includes many exercises and real-world examples of mechanical models
A solutions manual is available upon qualified course adoption.
Summary
This classroom-tested text incorporates the variational formulation of mechanical models based on the principle of virtual work (PVW). All models are presented following the same sequence of steps, including kinematics, strain measurement, rigid body deformation, internal and external work, equilibrium, constitutive equations, and structural design. This presentation allows readers to establish a logical sequence for treating any mechanical problem. The author offers step-by-step explanations of the limitations and strengths of mechanical models and includes many real-world examples. MATLAB® programs are supplied to run the examples.
Table of Contents
Introduction. Equilibrium of Particles and Rigid Bodies. Bars in Traction and Compression. Shafts with Circular and Noncircular Cross Sections. Beams (Euler-Bernoulli Beam). Beams with Shear Effect (Timoshenko Beam). General Beams. High-Order Shape Functions, Mapping, and Numerical Integration. Plates (Kirchhoff Plate). Plates with Shear Effect (Reissner-Mindlin Plate). Variational Formulation and Approximation of Mechanical Models. Solids. Nonlinear Transient Structural Models.
