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Introduction to Linear Algebra with Mathematica

Glossary

Preface

Constitutive laws

In partice, processes and phenomena are desribed by the state quantites (density, pressure, temperature, entropy) and flow functions (quantities such as velocity, momentum, tensio, heat flus). Relations between the state quantity and the relevant flow quantity are usually based on the generalization of experimental observations and depend on the properties of the particular medium or material. They are usually called constitutive laws or material relations.

A typical example of the constitutive law from the elasticity theory is Hook’s law, which states that, for relatively small deformations of an object, the displacement or size of the deformation (state quantity) is directly proportional to the deforming force or tension (flow quantity).