CONTINUUM MECHANICS
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Date
2025-04-27
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MOHAMED Boudiaf University of M’sila
Abstract
The content and progression of this manuscript of handout of continuum mechanics were designed with three objectives:
1. To provide the student of the discipline with the necessary elements to address problems of solid mechanics.
2. To support and contribute to the efforts of teaching this discipline (CM) by providing the student with a rigorous and practical document.
3. To present to the students, this discipline as well as its capacities and its limits so that they enrich their culture in the field.
This manuscript is divided into seven chapters:
The first was devoted to a reminder of mathematics including the basic tools necessary for the development of the different concepts of CM. The second chapter we presented the concept of continuum mechanics and Lagrangian and Eulerian descriptions. The stress analysis is devoted to the third chapter. We also presented in the fourth chapter the theory of deformations. The basic equations of the kinematics of continuous media are discussed in the fifth chapter. To conclude, the sixth chapter presents the relationship between stresses and deformations and the fundamental concepts of the behavior laws for an elastic continuous medium. Some applications in solid mechanics are solved in the seventh chapter.
In the last chapter we discuss the failure criteria applied in continuum mechanics.
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Keywords
Lagrangian and Eulerian descriptions- configurations- stress analysis- theory of deformations- equations of the kinematics- equations of the kinematics- applications in solid mechanics- failure criteria.