Book contents
- Frontmatter
- Contents
- About the Cover
- Preface to the First Edition
- Preface to the Second Edition
- 1 Vector and Tensor Calculus
- 2 The Concepts of Force and Moment
- 3 Static Equilibrium
- 4 The Mechanical Behaviour of Fibres
- 5 Fibres: Time-Dependent Behaviour
- 6 Analysis of a One-Dimensional Continuous Elastic Medium
- 7 Biological Materials and Continuum Mechanics
- 8 Stress in Three-Dimensional Continuous Media
- 9 Motion: Time as an Extra Dimension
- 10 Deformation and Rotation, Deformation Rate and Spin
- 11 Local Balance of Mass, Momentum and Energy
- 12 Constitutive Modelling of Solids and Fluids
- 13 Solution Strategies for Solid and Fluid Mechanics Problems
- 14 Solution of the One-Dimensional Diffusion Equation by Means of the Finite Element Method
- 15 Solution of the One-Dimensional Convection–Diffusion Equation by Means of the Finite Element Method
- 16 Solution of the Three-Dimensional Convection–Diffusion Equation by Means of the Finite Element Method
- 17 Shape Functions and Numerical Integration
- 18 Infinitesimal Strain Elasticity Problems
- References
- Index
17 - Shape Functions and Numerical Integration
Published online by Cambridge University Press: 02 February 2018
- Frontmatter
- Contents
- About the Cover
- Preface to the First Edition
- Preface to the Second Edition
- 1 Vector and Tensor Calculus
- 2 The Concepts of Force and Moment
- 3 Static Equilibrium
- 4 The Mechanical Behaviour of Fibres
- 5 Fibres: Time-Dependent Behaviour
- 6 Analysis of a One-Dimensional Continuous Elastic Medium
- 7 Biological Materials and Continuum Mechanics
- 8 Stress in Three-Dimensional Continuous Media
- 9 Motion: Time as an Extra Dimension
- 10 Deformation and Rotation, Deformation Rate and Spin
- 11 Local Balance of Mass, Momentum and Energy
- 12 Constitutive Modelling of Solids and Fluids
- 13 Solution Strategies for Solid and Fluid Mechanics Problems
- 14 Solution of the One-Dimensional Diffusion Equation by Means of the Finite Element Method
- 15 Solution of the One-Dimensional Convection–Diffusion Equation by Means of the Finite Element Method
- 16 Solution of the Three-Dimensional Convection–Diffusion Equation by Means of the Finite Element Method
- 17 Shape Functions and Numerical Integration
- 18 Infinitesimal Strain Elasticity Problems
- References
- Index
Summary
- Type
- Chapter
- Information
- BiomechanicsConcepts and Computation, pp. 363 - 381Publisher: Cambridge University PressPrint publication year: 2018