Mechanical Properties Of Biomaterials

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MechanicalProperties ofBiomaterialsAcademic Resource Center

Determining BiomaterialMechanical Properties Tensile and Shear properties Bending properties Time dependent properties

Tensile and Shear properties Types of forces that canbe applied to material:a)b)c)d)TensileCompressiveShearTorsion

Tensile Testing Force applied as tensile, compressive, or shear. Parameters measured: Engineering stress (σ) and Engineeringstrain (ԑ). σ F/A0 : Force applied perpendicular to the cross section ofsample ԑ (li-l0)/l0: l0 is the length of sample before loading, li is thelength during testing.

Compression Testing Performed mainly for biomaterials subjected to compressiveforces during operation. E.g. orthopedic implants. Stress and strain equations same as for tensile testing exceptforce is taken negative and l0 larger than li. Negative stress and strain obtained.

Shear Testing Forces parallel to top and bottom facesShear stress (τ) F/A0Shear strain (γ) tanθ ; θ is the deformation angle.In some cases, torsion forces may be applied to sampleinstead of pure shear.

Elastic Deformation Material 1: Ceramics Stress proportional tostrain. Governed by Hooke’slaw: σ ԑE; τ Gγ E :Young’s modulus G:Shear modulus - measureof material stiffness. Fracture after applyingsmall values of strain:ceramics are brittle innature.

Elastic and Plastic deformation. Material 2: Metal Stress proportionalto strain with smallstrain; elasticdeformation. At high strain, stressincreases very slowlywith increased strainfollowed by fracture:Plastic deformation.

Elastic and Plastic deformation. Material 3: Plasticdeformation polymer Stress proportionalto strain with smallstrain; elasticdeformation. At high strain, stressnearly independentof strain, shows slightincrease: Plasticdeformation.

Elastic and Plastic deformation. Material 4: Elasticpolymer Stress increases veryslowly withincreasing strain. Do not fracture at avery high strainvalues.

Plastic deformation Plastic deformation occursat point where Hook’s Lawis no longer valid, i.e. end ofelastic region. Stress at this point is calledyield strength (σy) and stainis called yield point strain(ԑyp). Further stress increaseswith strain up till amaximum point M, calledUltimate tensile strength(σuts). With further increase instrain, stress decreasesleading to Fracture.

Engineering vs. True Stressstrain True stress (σt) force divided by instantaneous area σt F/Ain True strain ԑt ln(li/l0)

Stages of Plastic Deformationa) Lamellar and amorphousregions of polymer interactin response to tensileforces.b) Stage 1: chains extend andlamella slide past eachother.c) Stage 2:Lamella re-orient sothat chain folds align alongthe axis of loading.

Stages of Plastic Deformationd) Stage 3: Blocks of crystallinephases separate, adjacentlamella still attached toeach other through tiemolecules.e) Stage 4: Finally blocks and tiemolecules become orientedalong the axis of appliedtensile forces.

Bending Properties Helps in calculation of: Stress required to fracture the sample or Modulus ofRupture (also called flexural strength).σmr 3FfL/2bd 2

Time Dependent Properties CREEP: Defined as plastic deformation of sample under constantload over time. Creep at 37 deg C a significant concern for biomedical applications. Failure of Polymer ligaments.

Creep Molecular Causes of creep: Metals: Grain boundary movement, vacancy diffusion Ceramics: little or no vacancy diffusion Polymers: viscous response in amorphous regions. Creep is function of crystallinity: As % crystallinity increases,creep decreases.

Creep curve 3 distinct regions: Primary creep: increase in strainwith time; creep rate decreases. Secondary creep: linear relationbetween creep strain and time. Tertiary creep: Leads to fracture.

Contact: BME Table, Academic Resource CenterQUESTIONS OR SUGGESTIONS?

Mechanical Properties Tensile and Shear properties Bending properties Time dependent properties . Tensile and Shear properties Types of forces that can be applied to material: a) Tensile b) Compressive c) Shear d) Torsion . Tensile

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