Large strain finite element method: a practical course

An introductory approach to the subject of large strains and large displacements in finite elements. Large Strain Finite Element Method: A Practical Course, takes an introductory approach to the subject of large strains and large displacements in finite elements and starts from the basic concepts of finite strain deformability, including finite rotations and finite displacements. The necessary elements of vector analysis and tensorial calculus on the lines of modern understanding of the concept of tensor will also be introduced. This book explains how tensors and vectors can be described us.

Large Strain Finite Element Method: A Practical Course; Copyright; Contents; Preface; Acknowledgements; Part One Fundamentals; Chapter 1 Introduction; 1.1 Assumption of Small Displacements; 1.2 Assumption of Small Strains; 1.3 Geometric Nonlinearity; 1.4 Stretches; 1.5 Some Examples of Large Displacement Large Strain Finite Element Formulation; 1.6 The Scope and Layout of the Book; 1.7 Summary; Further Reading; Chapter 2 Matrices; 2.1 Matrices in General; 2.2 Matrix Algebra; 2.3 Special Types of Matrices; 2.4 Determinant of a Square Matrix; 2.5 Quadratic Form; 2.6 Eigenvalues and Eigenvectors

2.7 Positive Definite Matrix2.8 Gaussian Elimination; 2.9 Inverse of a Square Matrix; 2.10 Column Matrices; 2.11 Summary; Further Reading; Chapter 3 Some Explicit and Iterative Solvers; 3.1 The Central Difference Solver; 3.2 Generalized Direction Methods; 3.3 The Method of Conjugate DirectionsConjugate Directions; 3.4 Summary; Further Reading; Chapter 4 Numerical Integration; 4.1 Newton-Cotes Numerical Integration; 4.2 Gaussian Numerical Integration; 4.3 Gaussian Integration in 2D; 4.4 Gaussian Integration in 3DGaussian Integration in 3D; 4.5 Summary; Further Reading

Chapter 5 Work of Inter…