The Cauchy Stress Principle - 1505 Words

The Cauchy stress principle is one of the main hypotheses in mechanics of solids. The study of linear and nonlinear wave processes is very important. Elastic waves are high-performance instrument to research strained and deformed state of solids an also to study their structure and properties. Elastic waves can propagate deeply inside the material without disturbing the material state. The elasto-dynamic problem is a challenging predicament to the modern material scientists. In the last twenty years the concept of structural deformation levels obtained the recognition in physics of solids and especially in the science of materials [Panin (1995)]. According to which the concept, each point of a solid body is a complex system of interacting structures of lower level. In the present work elastodynamic problem of in elastic solids and the finite deformation in such materials are studied analytically and investigated the process of wave propagation in the solid. The elastic solid is assumed as a heterogeneous medium which is homogenized and then applied the principle of anisotropic expansion to suppress the effects of anisotropy. Due to homogenization the nonlinear effects are resulted, these non linear effects should be suppressed in the material to clearly understand the wave propagation in an elastic solid. To investigate the wave propagation in such a material a thorough study of the internal force and its distribution is to be expected, the action of all such internalShow MoreRelatedThe Importance Of Motivation And Features For Microfluidic And Lab On A Chip 11419 Words   |  6 PagesInstrumentation Microcontrollers Case Study - Microfluidics ZHENG Weihao 201419390 30th April, 2015 Report Declaration of Originality Contents Introduction 1 Motivation and features for Microfluidic and Lab-on-a-chip 1 Physical background and principle of operation 2 Two examples of Microfluidics technology 4 Microfluidics technology combined with microcontrollers 4 Two commercially available systems of Microfluidics technology 4 Future development of Microfluidics technology 5 Conclusions 5 ReferencesRead MoreCompilation of Mathematicians and Their Contributions11615 Words   |  47 Pagesmethod through the indivisibles of the continua, 1635). In this work, an area is considered as constituted by an indefinite number of parallel segments and a volume as constituted by an indefinite number of parallel planar areas. * Cavalieris principle, which states that the volumes of two objects are equal if the areas of their corresponding cross-sections are in all cases equal. Two cross-sections correspond if they are intersections of the body with planes equidistant from a chosen base planeRead MoreWbut Syllabus 1st Sem11442 Words   |  46 PagesSl. No. 1 2 3 4 5 CS201 PH201/ CH201 M201 ES201 ME201 Basic Computation Principles of Computer Programming Physics - 1(Gr-B) / Chemistry-1(Gr-A) Mathematics-2 Basic Electrical Electronic Engineering-II Engineering Thermodynamics Fluid Mechanics Theory Contact Hours/Week L 3 3 3 3 3 T 1 1 1 1 1 P 0 0 0 0 0 Total 4 4 4 4 4 Credit Points 4 4 4 4 4 7 8 9 10 Total of Theory B. PRACTICAL CS291 Basic Computation Principles of Computer Programming PH291/ Physics – 1 (Gr-B) CH291 /Chemistry-1 (Gr-A)Read MoreFriction Stir Welding And Artificial Neural Networks8074 Words   |  33 Pagesdata and analyze the results. 1.3 THESIS OUTLINE The thesis consist of nine chapters. The first chapter is introduction which contain the background of the thesis and the motivation behind the project. The second chapter explains the FSW method its principle of operation, the process parameters affecting it, the microstructural evaluation of the weld and applications. The third chapter consist of ANN approach, its features and its advantages over another method and applications. The literature surveyRead MoreMonte Carlo Simulation218872 Words   |  876 Pagesin setting the appropriate level for discourse. The most important prerequisite for reading this book is familiarity with the mathematical tools routinely used to specify and analyze continuous-time models in ï ¬ nance. Prior exposure to the basic principles of option pricing is useful but less essential. The tools of mathematical ï ¬ nance include Itˆ calculus, stochastic diï ¬â‚¬erential equations, o and martingales. Perhaps the most advanced idea used in many plac es in vi this book is the concept