Viscoelasticity of bone

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Viscoelasticity of bone can arise from multiple factors related to structures on multiple length scales. [1] Bone is a composite of the bio-polymer collagen and the bio-ceramic hydroxyapatite. Additionally the collagen is plied in various directions around the bone. Bone has two structural forms; cortical and cancellous. [2]

Bioceramic

Bioceramics and bioglasses are ceramic materials that are biocompatible. Bioceramics are an important subset of biomaterials. Bioceramics range in biocompatibility from the ceramic oxides, which are inert in the body, to the other extreme of resorbable materials, which are eventually replaced by the body after they have assisted repair. Bioceramics are used in many types of medical procedures. Bioceramics are typically used as rigid materials in surgical implants, though some bioceramics are flexible. The ceramic materials used are not the same as porcelain type ceramic materials. Rather, bioceramics are closely related to either the body's own materials or are extremely durable metal oxides.

The viscoelasticity of bone can therefore arise from the void collapse and deossification of cancellous bone and the natural viscoelastic response of collagen as a polymer. [1] [2]

Viscoelasticity

Viscoelasticity [3] is the phenomena of time-dependent strain exhibited by amorphous materials such as polymers or glasses. The viscoelasticity of materials depend on the viscosity and can be mechanically modelled using mechanical elements known as springs and dashpots. In turn, constitutive equations can relate the mechanical interpretation of viscoelasticity to the materials properties and strain rate.

Viscoelasticity is the property of materials that exhibit both viscous and elastic characteristics when undergoing deformation. Viscous materials, like water, resist shear flow and strain linearly with time when a stress is applied. Elastic materials strain when stretched and immediately return to their original state once the stress is removed.

Viscosity Resistance of a fluid to shear deformation

The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water.

In physics and engineering, a constitutive equation or constitutive relation is a relation between two physical quantities that is specific to a material or substance, and approximates the response of that material to external stimuli, usually as applied fields or forces. They are combined with other equations governing physical laws to solve physical problems; for example in fluid mechanics the flow of a fluid in a pipe, in solid state physics the response of a crystal to an electric field, or in structural analysis, the connection between applied stresses or forces to strains or deformations.

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Trabecula

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Stress relaxation

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References

  1. 1 2 Garner, Elijah, Roderic Lakes, Taeyong Lee, Colby Swan, and Richard Brand. "Viscoelastic Dissipation in Compact Bone: Implications for Stress-Induced Fluid Flow in Bone." Transactions of the ASME 122 (2000): 166-172.
  2. 1 2 3.051/BE.340 Lecture 20: Biomaterials for Organ Replacement. Cambridge, MA: Anne Mayes, 2006.
  3. Meyers, and Chawla. Mechanical Behaviour of Materials. Prentice Hall, Inc. (Pearson Education), 1999.