Elements of Continuum Mechanics
Continuum mechanics is concerned with the motion and deformation of continuous bodies (for instance, a glacier). A body consists of an infinite number of material elements, called particles. For any time t, each particle is identified by a position vector x (relative to a prescribed origin O) in the physical space ε, and the continuous set of position vectors for all particles of the body is called a configuration κ of the body. If t is the actual time, the corresponding configuration is called the present configuration κ t . In addition, we define a reference configuration κ r which refers to a fixed (or initial) time t 0.
KeywordsDeformation Gradient Momentum Balance Jump Condition Material Volume Cauchy Stress Tensor
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