Bone remodeling III: uniqueness and stability in adaptive elasticity theory

DOI10.1007/BF00130467zbMath0385.73094MaRDI QIDQ1249465

K. Appert

Publication date: 1978

Published in: Journal of Elasticity (Search for Journal in Brave)

Mathematics Subject Classification ID

Biomechanical solid mechanics (74L15) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Elastic materials (74B99) Partial differential equations (35-XX)

Related Items (12)

Existence and Uniqueness of a Solution to an Adaptive Elasticity Model ⋮ A theoretical model for surface bone remodeling under electromagnetic loads ⋮ A model for the volumetric growth of a soft tissue ⋮ A Biot model for the determination of material parameters of cancellous bone from acoustic measurements ⋮ An asymptotic model of a nonlinear adaptive elastic plate ⋮ A theory for internal bone remodeling based on interstitial fluid velocity stimulus function ⋮ Asymptotic Model of a Nonlinear Adaptive Elastic Rod ⋮ Conical differentiability for bone remodeling contact rod models ⋮ An existence and uniqueness result in bone remodeling theory ⋮ Influence of non-isotropy of osseous tissues and cross-sectional non- uniformity of a long bone on the internal remodelling dynamics of osseous tissues ⋮ Approximation of bone remodeling models ⋮ Adaptive elasticity

Cites Work

• On the asymptotic stability of the rest state of a viscous fluid bounded by a rigid wall and an elastic membrane
• Bone remodelling. I: Theory of adaptive elasticity
• Bone remodeling. II: Small strain adaptive elasticity

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