Download Finite Element Method: A Practical Course by G. R. Liu PDF

By G. R. Liu

The Finite point procedure (FEM) has turn into an quintessential know-how for the modelling and simulation of engineering platforms. Written for engineers and scholars alike, the purpose of the publication is to supply the required theories and strategies of the FEM for readers so that it will use a advertisement FEM package deal to resolve basically linear difficulties in mechanical and civil engineering with the main target on structural mechanics and warmth move. primary theories are brought in an easy means, and cutting-edge recommendations for designing and studying engineering structures, together with microstructural platforms are defined intimately. Case reports are used to illustrate those theories, equipment, innovations and useful functions, and various diagrams and tables are used all through. The case stories and examples use the industrial software program package deal ABAQUS, however the concepts defined are both acceptable for readers utilizing different purposes together with NASTRAN, ANSYS, MARC, and so on. complete units of PowerPoint slides constructed through the authors for his or her path on FEM can be found as a unfastened obtain from a spouse site. * a realistic and available advisor to this advanced, but very important topic * Covers modeling suggestions that are expecting how elements will function and tolerate a lot, stresses and traces actually * complete set of PowerPoint presentation slides which illustrate and aid the publication can be found on a better half site.

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There are only two independent material constants for isotropic material. Usually, the two most commonly used material constants are the Young’s modulus and the Poisson’s ratio. This book deals mostly with isotropic materials. Nevertheless, most of the formulations are also applicable to anisotropic materials. Boundary conditions are another important consideration in mechanics. There are displacement and force boundary conditions for solids and structures. For heat transfer problems there are temperature and convection boundary conditions.

1 Stress and Strain Three-dimensional problems can be drastically simplified if they can be treated as a twodimensional (2D) solid. For representation as a 2D solid, we basically try to remove one coordinate (usually the z-axis), and hence assume that all the dependent variables are independent of the z-axis, and all the external loads are independent of the z coordinate, and applied only in the x–y plane. Therefore, we are left with a system with only two coordinates, the x and the y coordinates.

1. Four common types of structural components. Their geometrical features are made use of to derive dimension reduced system equations. Therefore, there are six stress components in total at a point in solids. These stresses are often called a stress tensor. 2. Solid subjected to forces applied within the solid (body force) and on the surface of the solid (surface force). 3. Six independent stress components at a point in a solid viewed on the surfaces of an infinitely small cubic block. 4) ∂w ∂u ∂v ∂u ∂w ∂v εxy = + ; εxz = + ; εyz = + ∂y ∂x ∂z ∂x ∂z ∂y “chap02” — 2002/12/14 — page 15 — #4 16 CHAPTER 2 MECHANICS FOR SOLIDS AND STRUCTURES where u, v and w are the displacement components in the x, y and z directions, respectively.

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