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Mathematical Foundations

  • A. Anandarajah
Chapter

Abstarct

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).

Keywords

Stress Tensor Principal Stress Strain Tensor Volumetric Strain Order Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Butkov, E. (1968). Mathematical Physics. Addison-Wesley, Reading, MA, 735 pages.MATHGoogle Scholar
  2. Mase, G.E. (1970). Continuum Mechanics. Schaum’s Outline Series. McGraw Hill, New York, 221 pages.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Civil EngineeringJohns Hopkins UniversityBaltimoreUSA

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