Mathematical Foundations

  • A. Anandarajah


In this chapter, we present certain mathematical and continuum mechanics principles that are relevant to constitutive modeling and boundary value analysis. One of the most important topics is the concept of tensors. Tensors are quantities that obey coordinate transformation rules. Examples of tensors include certain scalars (mass, area, and volume), vectors (displacements and forces) and certain quantities encountered in continuum mechanics (stresses and strains).


Stress Tensor Principal Stress Strain Tensor Volumetric Strain Order Tensor 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Civil EngineeringJohns Hopkins UniversityBaltimoreUSA

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