Mechanics of Biologic Materials Flashcards
Internal Loading
External (mechanical) loads (forces) deform internal structures in addition to producing movement
Ligament
Tendon
Cartilage
Bone
Muscle
Material properties describe the responses of these internal structures to the mechanical loads
Mechanical Loading Types
Uniaxial Compression Tension Shear Combined Bending Torsion Mechanical loads create mechanical stress
Stress
Force (internal) per unit area over which the force acts (σ)
σ = force / surface area
Units: N/m2 or Pascal
Force (N)
Surface area (m2)
Similar to pressure, but multidirectional
Able to compare elements of different shapes and sizes
Three Principal Types of Mechanical Stress
Tension
Compression
Shear
Tension
Pulling or stretching force directed axially through a body
Acts ⊥ to analysis plane (axial or normal stress)
Analysis plane: cuts structure ⊥ through longest dimension
Compression
Pressing or squeezing force directed axially through a body
Acts ⊥ to analysis plane (axial or normal stress)
Shear
Force directed parallel to a surface
Causes a sliding of surfaces in opposite directions
Acts // to analysis plane (transverse stress)
Combined Loads
More common during functional activities
Cause:
Multiple stresses at analysis plane
Different magnitudes of stress at analysis plane
Types:
Bending
Torsion
What is Bending?
Loads applied to structure causing it to bend about a neutral axis
Compression & Tension develop on opposite sides of axis
Shear developed along axis
What is Torsion?
Load producing twisting of a body around its longitudinal axis
Shear stress occurs parallel to axis (greatest magnitude)
Compression & tension occur diagonal to axis
Strain
Mechanical stresses causes strain (ε) Quantification of the deformation of a material Excessive deformation (strain) causes injury
Deformation of a material with external forces
Linear strain due to compressive or tensile loads
Standardized as % total length
Assessing Biomechanical Properties of Tissue
Apply a known load and measure the resulting deformation
Load – Deformation Curve
Load-Deformation Curve
Strength (resistance to deformation / failure) Yield strength Ultimate strength Failure strength Total deformation before failure point Energy stored before failure point Area under the curve
Stiffness (k = F / x) or (k = load / deformation)
Slope of the elastic region
↑ slope = ↑ stiffness
Load-Deformation Curve: Limitation
Can’t compare materials of different size & shape
Load-Deformation Curve: Fix
Stress – Strain Curve
Load per unit area (stress) vs. Amount of deformation as a % of change in length (strain)
Stress = force / surface area
Strain = ∆ length / original length
Standardizes for size & shape of different materials