UID:
almafu_9959328829102883
Format:
1 online resource (xix, 446 pages, 8 unnumbered pages of plates) :
,
illustrations (some color)
ISBN:
9780470751763
,
0470751762
,
9780470751756
,
0470751754
,
9780470060353
,
0470060352
,
1281840858
,
9781281840851
Content:
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 bioengineering include medical devices, diagnostic equipment and biocompatible materials, amongst others. Computer Modeling in Bioengineering offers a comprehensive reference for a large number of bioengineering topics, presenting important computer modeling problems and solutions for research.
Note:
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.
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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.
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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.
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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.
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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.
Additional Edition:
Print version: Computer modeling in bioengineering. Chichester, England ; Hoboken, NJ : John Wiley & Sons, ©2008 ISBN 9780470060353
Additional Edition:
ISBN 0470060352
Language:
English
Keywords:
Electronic books.
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Electronic books.
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Electronic books.
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Electronic books.
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Electronic books.
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Electronic books.
DOI:
10.1002/9780470751763
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9780470751763
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9780470751763
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9780470751763
