Multiscale biomechanics /

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Bibliographic Details
Imprint:[S.l.] : ELSEVIER, 2018.
Description:1 online resource.
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11455097
Hidden Bibliographic Details
Other authors / contributors:Ganghoffer, J.-F. (Jean-François)
ISBN:9780081021156
0081021151
1785482084
9781785482083
Summary:Multiscale Biomechanics provides new insights on multiscale static and dynamic behavior of both soft and hard biological tissues, including bone, the intervertebral disk, biological membranes and tendons. The physiological aspects of bones and biological membranes are introduced, along with micromechanical models used to compute mechanical response. A modern account of continuum mechanics of growth and remodeling, generalized continuum models to capture internal lengths scales, and dedicated homogenization methods are provided to help the reader with the necessary theoretical foundations. Topics discussed include multiscale methods for fibrous media based on discrete homogenization, generalized continua constitutive models for bone, and a presentation of recent theoretical and numerical advances. In addition, a refresher on continuum mechanics and more advanced background related to differential geometry, configurational mechanics, mechanics of growth, thermodynamics of open systems and homogenization methods is given in separate chapters. Numerical aspects are treated in detail, and simulations are presented to illustrate models. This book is intended for graduate students and researchers in biomechanics interested in the latest research developments, as well as those who wish to gain insight into the field of biomechanics.
Other form:Print version: 1785482084 9781785482083

MARC

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505 8 |a Intro; Title page; Table of Contents; Copyright; Introduction; I.1 Biomechanics and its scientific challenges; I.2 Motivation of the book; I.3 Organization of the book; Part 1: Theoretical Basis: Continuum Mechanics, Homogenization Methods, Thermodynamics of Growing Solid Bodies; 1: Tensor Calculus; Abstract; 1.1 A short historical vignette; 1.2 Vector spaces; 1.3 Covariant and contravariant tensors; 1.4 Linear forms and duality; 1.5 Tensor algebra; 1.6 Euclidean tensors; 1.7 Algebraic operations on tensors; 1.8 Differential calculus on tensors: tensor analysis 
505 8 |a 1.9 Differential operators in curvilinear coordinates1.10 Partial derivatives of function with tensor arguments; 1.11 Elements of functional analysis; 2: Continuum Mechanics; Abstract; 2.1 Motivations of nonlinear mechanics1; 2.2 Prerequisite: summary of linear elasticity; 2.3 Introduction: notion of body in a continuum description; 2.4 Kinematics: displacement, transformation gradient, strains; 2.5 Deformation tensors; 2.6 Polar decomposition theorem; 2.7 Linearization of the kinematics: small strains and small displacements; 2.8 Deformation velocities 
505 8 |a 2.9 Transport operations: pull-back and push-forward2.10 Isotropic tensor functions; 2.11 Stress measures and strainâ#x80;#x93;strain duality; 2.12 Balance laws; 2.13 Abbreviations, notations and nomenclature; 3: Constitutive Models of Soft and Hard Living Tissues; Abstract; 3.1 Constitutive modeling; 3.2 Isotropic elastic materials; 3.3 Elasticity tensors; 3.4 Isotropic hyperelastic materials; 3.5 Incompressible materials; 3.6 Compressible hyperelastic materials; 3.7 Isotropic compressible hyperelasticity; 3.8 Some forms of constitutive models 
505 8 |a 3.9 Saint-Venant Kirchhoff materials and Neo-Hookean materials through linearization3.10 Hyperviscoelastic models; 3.11 Anisotropic constitutive models: fiber reinforced solids, orthotropic materials; 3.12 Case of orthotropic materials; 3.13 Variational principles and hints to numerical solution schemes; 4: Discrete Homogenization of Network Materials; Abstract; 4.1 Introduction; 4.2 Microscopic and mesoscopic homogenization problems; 4.3 Application to trabecular bone; 5: Mechanics and Thermodynamics of Volumetric and Surface Growth; Abstract; 5.1 Introduction 
505 8 |a 5.2 Thermodynamics of continuous open media: a survey5.3 General balance laws accounting for mass production due to growth; 5.4 Growth kinematics and growth models; 5.5 Mechanics and thermodynamics of surface growth; 5.6 Surface growth: a review of surface thermodynamics; 5.7 Material driving forces for surface growth; 5.8 Extremum principles for biological continuum bodies undergoing volumetric and surface growth; Part 2: Multiscale Bone Mechanics; 6: Micropolar Models of Trabecular Bone; Abstract; 6.1 A survey of bone physiology; 6.2 Review of trabecular bone models 
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