LECTURE 7 (Elastic properties of Biomaterials) Flashcards
What is Biomechanics?
Studies the development of mechanical processes in living organisms at various levels
What is Elasticity?
The property of a body that tends to return the body to its original shape after the force is removed
What happens when a force is applied to a body and when the force is sufficiently large?
FORCE APPLIED TO A BODY:
shape + size of body change -> depending how force is applied, body is stretched, compressed, bent or twisted
FORCE SUFFICIENTLY LARGE:
body is distorted beyond its ELASTIC LIMIT -> original shape not restores after removal of force
What is a force applied to the body resisted by?
The cohesive force that holds the material together
What is Stress?
The internal force per unit acting on the material
S = F/A
[F = force, A = area]
What is Strain?
The fractional change in length
ST ≡ ΔL/ L
[ΔL = elongation, L = length]
What does Hooke’s law state?
While the body remains elastic, the ratio of stress to strain is constant
S/ST = Y
[Y = Young’s modulus]
What is Young’s modulus?
The Young’s modulus (E) is a property of the material that tells us how easily it can stretch and deform and is defined as the ratio of tensile stress (σ) to tensile strain (ε)
Describe the Young’s modulus graph
- X axis = Strain
- Y axis = Stress
- Elastic limit = point where graph starts to curve
- Breaking point = point where graph starts to plateau
- Elastic behaviour = where graph is a straight line
Describe the equation of Elasticity of spring
F = K Δ L
Force (F) required to stretch/compress the spring is directly proportional to the amount of stretch
What is E in E = 1/2 K (ΔL)2?
The amount of energy stores in a stretched or compressed body
What is the equation of an elastic body under stress
F = YA/ L * Δ L
What energy considerations do we make to determine bone fracture?
- Maximum energy that parts of the body can safely absorb (allows to estimate the possibility of injury under various circumstances)
- Assume that bone remains elastic until fracture
What does a material’s deformation depend on?
- Elasticity
- Viscosity
- Plasticity
- Solidity margin
- Stretching
What does a material’s elasticity determined by?
The rate of thermal energy which is utilised during deformation-relaxation