LARGE DEFORMATION

The following sections are included:

• COORDINATE SYSTEMS AND TENSOR NOTATION

• DEFORMATION GRADIENT

• STRAINS

• RIGHT AND LEFT STRETCH STRAIN AND ROTATION TENSORS

• STRAIN RATES

• MATERIAL DERIVATIVES OF LINE, AREA AND VOLUME ELEMENTS

• STRESSES

• EXAMPLE: COMBINED TENSION AND TORSION LOADS

• OBJECTIVITY

• EQUATIONS OF MOTION

• CONSTITUTIVE EQUATIONS OF THERMOELASTIC BODIES

• MORE EXAMPLES

• VARIATIONAL PRINCIPLES FOR FINITE ELASTICITY: COMPRESSIBLE MATERIALS

• VARIATIONAL PRINCIPLES FOR FINITE ELASTICITY: NEARLY INCOMPRESSIBLE OR INCOMPRESSIBLE MATERIALS

• SMALL DEFLECTION OF THIN PLATES

• LARGE DEFLECTION OF PLATES