IUTAM Symposium on Synthesis in Bio Solid Mechanics

1. Material and Microstructure

   1. On the Optimality of Bone Microstructure

      • O. Sigmund

      Pages 221-234

2. Mathematics of Remodelling

   1. An Existence Result in Bone Remodelling

      • L. Trabucho

      Pages 235-246

   2. Structural Optimization and Biological “Designs”

      • Andrej Cherkaev, Elena Cherkaeva

      Pages 247-264

   3. On Simple Model of Self-Adapting Bone Material

      • T. Lekszycki

      Pages 265-276

3. Eye, Fiberorientation and Material Symmetry

   1. Computer Simulations of Refractive Surgery and Accommodation Mechanisms

      • Francois Jouve, Khalil Hanna

      Pages 277-284

   2. Optimization of Left Ventricular Muscle Fiber Orientation

      • P. H. M. Bovendeerd, J. Rijcken, D. H. Van Campen, A. J. G. Schoofs, K. Nicolay, T. Arts

      Pages 285-296

   3. Optimization of Material Symmetry

      • Stephen C. Cowin, Guoyu Yang

      Pages 297-308

4. Remodelling as a Dynamic Process

   1. Surface Remodeling Simulation of Trabecular Bone Using Microstructural Finite Element Models

      • Taiji Adachi, Ken-Ichi Tsubota, Yoshihiro Tomita

      Pages 309-320

   2. Tissue Adaptation as a Discrete-Dynamical Process in Time and Space

      • P. J. Prendergast, H. Weinans

      Pages 321-332

   3. Time Simulation of Bone Adaptation

      • Mette Bagge

      Pages 333-348

   4. Can the Mechanical Trabecular Bone Quality be Estimated Reliably from Mean Intercept Length or Other Morphological Parameters?

      • G. H. Van Lenthe, R. Huiskes

      Pages 349-360

5. Damage and Bone Evolution

   1. Nonlinear Stress-Strain Behavior Due to Damage Accumulation in Cortical Bone

      • D. T. Davy, K. J. Jepsen, D. J. Krzypow, M. T. Fondrk

      Pages 361-372

   2. A Volumetric Finite Element Scheme to Investigate the Mechanical Properties of Normal and Osteoporotic Trabecular Bone

      • Rakesh Saxena, Tony S. Keller

      Pages 373-386

   3. Similarities in Bone Remodeling and Damage Evolution

      • D. A. Tortorelli, P. Pedersen

      Pages 387-400

   4. Bounds for Cell Wall Permeabilities

      • Robert Lipton, Bogdan Vernescu

      Pages 401-406

6. Back Matter

   Pages 407-414

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This book contains the edited version of invited lectures presented at the IUTAM-Sym- sium Synthesis in Bio Solid Mechanics, held at Hotel Frederiksdal, Virum (Copenhagen), Denmark, May 24 to May 27, 1998. The symposium was attended by 48 scientist from 14 countries. Biomechanics has been a very active research area in the last 25 years and covers a very broad class of problems. The present symposium concentrated on the solid mechanics - main of biomechanics, where important problems of synthesis presently are an active and challenging part. Characteristics of biomechanical materials are not only the inhomogeneity and anisotropy, but also the capability to change in relation to actual use. These living materials call for new methods of analysis and also new methods for synthesis. By the synthesis in this context is meant design of implants or artificial control of material growth. Bone mechanics is closely related to recent work on analysis and design of microstructural anisotropic materials. Also, recent work in shape design can to some extent be useful in the more complicated problems of biomechanics. Here interface problems play an essential role. The symposium brought together scientists from mechanics, mathematics and medicine.

• biomechanics
• bone
• diffraction
• elasticity
• fatigue
• modeling
• surgery
• tissue
• viscoelasticity

• Department of Solid Mechanics, Technical University of Denmark, Lyngby, Denmark

  Pauli Pedersen

• Department of Mathematics, Technical University of Denmark, Lyngby, Denmark

  Martin P. Bendsøe

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