continuum mechanics, part 3 - Ústav termomechaniky av … · continuum mechanics, part 3...

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Continuum Mechanics, part 3 Kinematics_3 Small strains Principal stretch Summary for kinematics Rigid body motion Motion and flow cm_part3

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Page 1: Continuum Mechanics, part 3 - Ústav termomechaniky AV … · Continuum Mechanics, part 3 Kinematics_3 • Small strains • Principal stretch • Summary for kinematics • Rigid

Continuum Mechanics, part 3

Kinematics_3• Small strains• Principal stretch• Summary for kinematics• Rigid body motion• Motion and flow

cm_part3

Page 2: Continuum Mechanics, part 3 - Ústav termomechaniky AV … · Continuum Mechanics, part 3 Kinematics_3 • Small strains • Principal stretch • Summary for kinematics • Rigid
Page 3: Continuum Mechanics, part 3 - Ústav termomechaniky AV … · Continuum Mechanics, part 3 Kinematics_3 • Small strains • Principal stretch • Summary for kinematics • Rigid
Page 4: Continuum Mechanics, part 3 - Ústav termomechaniky AV … · Continuum Mechanics, part 3 Kinematics_3 • Small strains • Principal stretch • Summary for kinematics • Rigid
Page 5: Continuum Mechanics, part 3 - Ústav termomechaniky AV … · Continuum Mechanics, part 3 Kinematics_3 • Small strains • Principal stretch • Summary for kinematics • Rigid
Page 6: Continuum Mechanics, part 3 - Ústav termomechaniky AV … · Continuum Mechanics, part 3 Kinematics_3 • Small strains • Principal stretch • Summary for kinematics • Rigid
Page 7: Continuum Mechanics, part 3 - Ústav termomechaniky AV … · Continuum Mechanics, part 3 Kinematics_3 • Small strains • Principal stretch • Summary for kinematics • Rigid
Page 8: Continuum Mechanics, part 3 - Ústav termomechaniky AV … · Continuum Mechanics, part 3 Kinematics_3 • Small strains • Principal stretch • Summary for kinematics • Rigid

{dx}=[F]{da}

In one step

Right polar decomposition F = RU

Left polar decomposition F = VR

The case of homogeneous deformation applied to a circle

For more details see the program polardec.m

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