Chapter 11

In a stress state the indices of shear components are equal.

• True

• False

When a solid undergoes deformation, such as compression or expansion, the arrangement of its constituent particles is modified, leading to a change in its volume.

• True

• False

The Green-Lagrange strain is derived from the deformation gradient tensor and provides a more accurate measure of strain for large deformations.

• True

• False

Cauchy stress is defined as a fourth-order tensor that relates the internal forces acting on an infinitesimal surface element to the area of that element.

• True

• False

The Piola-Kirchhoff stress is defined with respect to the material's reference or transient configuration.

• True

• False

Hyperelasticity, also known as Green elastic material or Green elastic behavior, is a branch of elasticity that describes the behavior of materials that exhibit large elastic deformations under applied loads.

• True

• False

The conservation of mass, also known as mass conservation or the principle of mass conservation, is a fundamental principle in physics that states that the total mass of a closed system remains constant over time, provided there are no external influences or sources/sinks of mass.

• True

• False

The entropy of an isolated system either remains constant or decreases over time.

• True

• False