Biomechanics_course_gw_12-13 constitutive

Biomechanics_course_gw_12-13 constitutive - Constitutive...

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Unformatted text preview: Constitutive behavior • Material mechanical properties: stiffness, hardness, tough, ductile and brittle • Constitutive relation or diagram between stress and strain – Linear/nonlinear – Elastic/inelasticity – Homogeneous/heterogeneity – Isotropy/anisotropy Constitutive behavior • Linear/nonlinear – Proportionality limit: for small strain • Material: metals, bone – Nonlinearity becomes dominated at relatively high strain, • Material: elastomers, soft tissues (but without permanent change in structure) • Elastic/inelasticity – Elasticity • Resume its original (stress-free) size and shape upon removal of the load • Stress and strain relation recovers completely to the path of loading phase after loading is removed • No energy dissipation due the deformation • Responds instantaneously to an applied load • Material: metal at small strain – Nearly elastic (pseudoelastic): • Not pure elastic, having a hysteresis between loading and unloading curve • Material: soft tissues, rubber – Plasticity • Permanent deformation after the removal of the load Constitutive behavior • Homogeneous/heterogeneity – Homogeneous • Behavior is independent space position of the body • Material: – Many metals, rubberlike materials – Skin, lung parenchyma, myocardium, brain tissue, bone – Heterogeneous • Due to layering • Behavior is dependent on space position of the body • Materials: fiber reinforced composite, steel reinforced concrete • Isotropy/anisotropy – Isotropy • Independent of its orientation within the body – Anisotropy • Dependent of its orientation within the body Stress-strain diagram • Proportionality limit...
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Biomechanics_course_gw_12-13 constitutive - Constitutive...

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