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Balance of Energy

The rate of work performed by forces acting on a body is defined by Principle of Virtual Work Alternative to…

Conservation of Mass

Balance of Linear and Angular Momentum

Fundamental Laws of Continuum Mechanics

Continuum mechanics is essentially based on fundamental principles having the character of axioms, that are laws, which cannot be proven…

Plane Stress State

PIOLA-KIRCHHOFF Stresses

CAUCHY’s Stress Tensor

Kinetics: Forces and Stresses

In the previous chapter, the geometrical description of deformation and motion of a continuum have been addressed. Both are generally…

Change of Reference Frame

If two observers describe their spaces by position vectors with respect to their individual points of reference, then

Material and Local Time Derivatives

Strain Rates

Strain tensors

As the deformation gradient may include (rigid) rotations, it cannot be used to describe the deformation of a material body.…

Deformation

Kinematics: Motion and Deformation

The following chapter provides an introduction into the description of finite (large) deformations and hence abandons the common assumption made…