(PDF) Continuum mechanics | Jay Krishna - ninciclopedia.orgTensor Algebra. Tensor Analysis. Constitutive Assumptions. Inviscid Fluids. Change in Observer.
08.13. Summary of initial and boundary value problems of continuum mechanics
Continuum mechanics via problems and exercises
Written in response to the dearth of practical and meaningful textbooks in the field of fundamental continuum mechanics, this comprehensive treatment offers students and instructors an immensely useful tool. Its solved problems and exercises not only provide essential practice but also systematically advance the understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. Readers follow clear, formally precise steps through the central ideas of classical and modern continuum mechanics, expressed in a common, efficient notation that fosters quick comprehension and renders these concepts familiar when they reappear in other contexts. Completion of this brief course results in a unified basis for work in fluid dynamics and the mechanics of solid materials, a foundation of particular value to students of mathematics and physics, those studying continuum mechanics at an intermediate or advanced level, and postgraduate students in the applied sciences. The theory of scalar-, vector- and tensor-valued functions defined on subsets of a three-dimensional Euclidean space is a major part of the mathematical framework upon which continuum mechanics is built.
Continuum mechanics via problems and exercises. Download PDF. Recommend Documents. Optimization and stability Problems in continuum mechanics. Exercises, problems, and projects.