By Karan S. Surana
Explore the Computational tools and Mathematical versions which are attainable via Continuum Mechanics Formulations
Mathematically not easy, but in addition rigorous, detailed, and written utilizing very transparent language, Advanced Mechanics of Continua provides an intensive figuring out of continuum mechanics. This e-book explores the basis of continuum mechanics and constitutive theories of fabrics utilizing comprehensible notations. It doesn't keep on with one particular shape, yet as an alternative presents a mixture of notations that whereas typically are assorted than these utilized in present perform, are a usual selection for the data that they characterize. The publication areas specific emphasis on either matrix and vector notations, and provides fabric utilizing those notations every time possible.
The writer explores the improvement of mathematical descriptions and constitutive theories for deforming solids, fluids, and polymeric fluids—both compressible and incompressible with transparent contrast among Lagrangian and Eulerian descriptions in addition to co- and contravariant bases. He additionally establishes the tensorial nature of pressure measures and impact of rotation of frames on a variety of measures, illustrates the actual which means of the elements of lines, offers the polar decomposition of deformation, and gives the definitions and measures of stress.
Comprised of sixteen chapters, this article covers:
- Einstein’s notation
- Index notations
- Matrix and vector notations
- Basic definitions and concepts
- Mathematical preliminaries
- Tensor calculus and ameliorations utilizing co- and contra-variant bases
- Differential calculus of tensors
- Development of mathematical descriptions and constitutive theories
Advanced Mechanics of Continuaprepares graduate scholars for primary and uncomplicated examine paintings in engineering and sciences, presents specified and constant derivations with readability, and will be used for self-study.
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Advanced Mechanics of Continua (Applied and Computational Mechanics) by Karan S. Surana