Elasticity

Contents:

• Energy (Elasticity)
  • Elastic energy density of bulk compression via pressure
    • elastic_energy_density
    • pressure
    • bulk_modulus
    • law
  • Elastic energy density of compression via strain
    • elastic_energy_density
    • young_modulus
    • engineering_normal_strain
    • law
  • Elastic potential energy from displacement
    • elastic_potential_energy
    • stiffness
    • displacement
    • law
• Material Properties
  • Bulk modulus via Young modulus and Poisson ratio
    • bulk_modulus
    • young_modulus
    • poisson_ratio
    • law
  • Coefficient of stiffness from area and length
    • stiffness
    • young_modulus
    • area
    • length
    • law
  • Poisson ratio is transverse to axial strain ratio
    • poisson_ratio
    • transverse_strain
    • axial_strain
    • law
  • Rotational stiffness is torque applied over angle
    • rotational_stiffness
    • torque
    • angular_distance
    • law
• Strain
  • Engineering normal strain is total deformation over initial dimension
    • engineering_normal_strain
    • total_deformation
    • initial_dimension
    • law
  • Superposition of small deformations
    • total_strain
    • first_strain
    • second_strain
    • law
• Stress
  • Bulk stress is bulk modulus times strain
    • bulk_stress
    • bulk_modulus
    • fractional_volume_change
    • law
  • Pressure from force and area
    • pressure
    • force
    • area
    • law
  • Pressure is Maclaurin series of strain
    • pressure
    • young_modulus
    • second_coefficient
    • third_coefficient
    • strain
    • law
  • Shear stress is proportional to speed gradient
    • shear_stress
    • dynamic_viscosity
    • layer_position
    • flow_speed
    • law
  • Shear stress is shear modulus times strain
    • shear_stress
    • shear_modulus
    • shear_strain
    • law
  • Tensile stress is Young’s modulus times strain
    • stress
    • young_modulus
    • engineering_normal_strain
    • law