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Computer modeling in bioengineering : theoretical background, examples and software /
Bioengineering is a broad-based engineering discipline that applies engineering principles and design to challenges in human health and medicine, dealing with bio-molecular and molecular processes, product design, sustainability and analysis of biological systems. Applications that benefit from bioe...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chichester, England ; Hoboken, NJ :
John Wiley & Sons,
©2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Computer Modeling in Bioengineering; Contents; Contributors; Preface; Part I Theoretical Background of Computational Methods; 1 Notation
- Matrices and Tensors; 1.1 Matrix representation of mathematical objects; 1.2 Basic relations in matrix algebra; 1.3 Definition of tensors and some basic tensorial relations; 1.4 Vector and tensor differential operations and integral theorems; 1.5 Examples; 2 Fundamentals of Continuum Mechanics; 2.1 Definitions of stress and strain; 2.1.1 Stress; 2.1.2 Strain and strain rate; 2.1.3 Examples; 2.2 Linear elastic and viscoelastic constitutive relations.
- 2.2.1 Linear elastic constitutive law2.2.2 Viscoelasticity; 2.2.3 Transformation of constitutive relations; 2.2.4 Examples; 2.3 Principle of virtual work; 2.3.1 Formulation of the principle of virtual work; 2.3.2 Examples; 2.4 Nonlinear continuum mechanics; 2.4.1 Deformation gradient and the measures of strain and stress; 2.4.2 Nonlinear elastic constitutive relations; 2.4.3 Examples; 3 Heat Transfer, Diffusion, Fluid Mechanics, and Fluid Flow through Porous Deformable Media; 3.1 Heat conduction; 3.1.1 Governing relations; 3.1.2 Examples; 3.2 Diffusion.
- 3.2.1 Differential equations of diffusion3.2.2 Examples; 3.3 Fluid flow of incompressible viscous fluid with heat and mass transfer; 3.3.1 Governing equations of fluid flow and of heat and mass transfer; 3.3.2 Examples; 3.4 Fluid flow through porous deformable media; 3.4.1 The governing equations; 3.4.2 Examples; Part II Fundamentals of Computational Methods; 4 Isoparametric Formulation of Finite Elements; 4.1 Introduction to the finite element method; 4.2 Formulation of 1D finite elements and equilibrium equations; 4.2.1 Truss finite element.
- 4.2.2 Equilibrium equations of the FE assemblage and boundary conditions4.2.3 Examples; 4.3 Three-dimensional (3D) isoparametric finite element; 4.3.1 Element formulation; 4.3.2 Examples; 4.4 Two-dimensional (2D) isoparametric finite elements; 4.4.1 Formulation of the elements; 4.4.2 Examples; 4.5 Isoparametric shell finite element for general 3D analysis; 4.5.1 Basic assumptions about shell deformation; 4.5.2 Formulation of a four-node shell element; 4.5.3 Examples; 5 Dynamic Finite Element Analysis; 5.1 Introduction to dynamics of structures; 5.2 Differential equations of motion.
- 5.3 Integration of differential equations of motion5.4 System frequencies and modal shapes; 5.5 Examples; 6 Introduction to Nonlinear Finite Element Analysis; 6.1 Introduction; 6.2 Principle of virtual work and equilibrium equations in nonlinear incremental analysis; 6.2.1 Discrete system; 6.2.2 Principle of virtual work for a continuum; 6.2.3 Finite element model; 6.2.4 Finite element model with logarithmic strains; 6.3 Examples; 7 Finite Element Modeling of Field Problems; 7.1 Introduction; 7.1.1 General considerations; 7.1.2 The Galerkin method; 7.2 Heat conduction.