Strain Tensor Equations

Introduction to Strain Tensor Equations

The strain tensor is a mathematical representation of the deformation of a material and is used in continuum mechanics to describe the displacement and distortion of material particles. The strain tensor is a 3x3 symmetric matrix that characterizes the displacement and distortion in three dimensions. The components of the strain tensor are denoted by e_xx, e_yy, e_zz, e_xy, e_xz, e_yz.

Parameter usage:

• e_xx: Normal strain in the x-direction
• e_yy: Normal strain in the y-direction
• e_zz: Normal strain in the z-direction
• e_xy: Shear strain in the xy-plane
• e_xz: Shear strain in the xz-plane
• e_yz: Shear strain in the yz-plane

Output:

Returns a strain tensor object containing the individual strain components.

Data validation:

Each input value should be within a valid range for strain. For example, typical strain values for solids are in the range of -0.01 to 0.01.