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Introduction to Finite Element Analysis in Solid Mechanics

1 Chapter 2 Introduction to Finite Element Analysis in Solid Mechanics Most practical design calculations involve components with a complicated three-dimensional geometry, and may also need to account for inherently nonlinear phenomena such as contact, large shape changes, or nonlinear material behavior. These problems can only be solved using computer simulations. The Finite Element method is by far the most widely used and versatile technique for simulating deformable solids. This chapter gives a brief overview of the Finite Element method, with a view to providing the background needed to run simple simulations using a commercial Finite Element program. More advanced Analysis requires a deeper understanding of the theory and implementation of Finite Element codes, which will be addressed in the next chapter.

2.2 The Finite Element Mesh for a 2D or 3D component The finite element mesh is used to specify the geometry of the solid, and is also used to describe the displacement field within the solid. A typical mesh (generated in the commercial FEA code ABAQUS) is shown in …

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  Analysis, Elements, Finite, Finite element, Finite element analysis

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