Biomechanics of Living Organs Hyperelastic Constitutive Laws for Finite Element Modeling.

Biomechanics of Living Organs: Hyperelastic Constitutive Laws for Finite Element Modeling is the first book to cover finite element biomechanical modeling of each organ in the human body. This collection of chapters from the leaders in the field focuses on the constitutive laws for each organ. Each...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Payan, Yohan, Ohayon, Jacques
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Academic Pr 2017.
Colección:Academic Press series in biomedical engineering.
Temas:
Biomedical engineering.
Biomedical materials.
Biomechanical Phenomena
G�enie biom�edical.
Biomat�eriaux.
biomedical engineering.
HEALTH & FITNESS > Holism.
HEALTH & FITNESS > Reference.
MEDICAL > Alternative Medicine.
MEDICAL > Atlases.
MEDICAL > Essays.
MEDICAL > Family & General Practice.
MEDICAL > Holistic Medicine.
MEDICAL > Osteopathy.
Biomedical engineering
Biomedical materials
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Biomechanics of Living Organs: Hyperelastic Constitutive Laws for Finite Element Modeling; Copyright; Contents; Contributors; Preface; Part 1: Constitutive laws for biological living tissues; Chapter 1: Hyperelasticity Modeling for Incompressible Passive Biological Tissues; 1. Introduction; 2. Mechanical Formulation; 2.1. Description of the Deformation; 2.2. Strain-Stress Relationships; 2.3. Stability; 3. Constitutive Equations for Soft Biological Tissues; 3.1. Introduction to Anisotropy; 3.2. Green-Lagrange Tensor Components to Describe Anisotropy.
  • 3.3. Strain Invariants Formulation3.3.1. Classical formulation; 3.3.2. Coupling influence; 4. About Some Specific Constitutive Equations; 4.1. Transversely Isotropic Model of Guccione et al.; 4.2. HGO Orthotropic Model; 4.3. About the Two Models; 5. How to Account for a Kinematics Constraint in a Constitutive Law?; 6. Passive Hyperelastic SEDFs Used in the Book Chapters; 7. Discussion; 8. Conclusion; References; Chapter 2: Hyperelastic Models for Contractile Tissues: Application to Cardiovascular Mechanics; 1. Introduction.
  • 2. Introductory Notions of Nonlinear Theory of Elasticity and Notations3. Modeling the Contractile Response With the Active-Stress Formalism; 4. Modeling the Contractile Response With the Active-Strain Formalism; 5. Strain Energy Density Functions Used for the Illustration of the Two Approaches; 5.1. Mechanical Behavior of the Myocardium; 5.2. Mechanical Behavior of the Coronary Arterial Wall; 6. Biomechanical Problems and Modeling Issues; 6.1. Problem 1: Vascular Tone and Residual Stress in Arteries; 6.2. Problem 2: Equibiaxial Stretching of Myocardial Tissue During Contraction.
  • 6.3. Problem 3: Combining Hill Model With Starlings Law for Myocardial Contraction7. Concluding Remarks; Appendix A; Appendix B; References; Chapter 3: Viscohyperelastic Strain Energy Function; 1. Introduction; 2. Constitutive Model; 2.1. Dissipation Potential Theoretical Framework; 2.2. Short-Time Memory, Isotropic and Isothermal Case Study; 3. Novel Polyvalent Dissipation Potential; 4. Identification of the Polyvalent Dissipation Potential; 5. Application to the Annulus Fibrosus; 5.1. Specimen Preparation; 5.2. Experimental Setup; 5.3. Data Analysis; 5.4. Results.
  • 5.5. Constitutive Modeling and Identification6. Discussion; Appendix. Numerical Implementation; References; Chapter 4: Constitutive Formulations for Soft Tissue Growth and Remodeling; 1. Introduction; 2. Mechanobiology; 3. Mechanobiological Constitutive Equations; General Considerations; 3.1. Kinematic Growth Models; 3.2. Constrained Mixture Models; 3.3. Homogenized Constrained Mixture Models; 4. Illustrative Examples; 4.1. Kinematic Model of Arterial Growth; 4.2. Kinematic Model of Cardiac Growth and Remodeling; 4.3. Kinematic Model of Skin Growth.

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