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Finite Element Analysis - Thermomechanics of Solids Part 8

Tham khảo tài liệu 'finite element analysis - thermomechanics of solids part 8', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 8 Introduction to the Finite-Element Method 8.1 INTRODUCTION In thermomechanical members and structures finite-element analysis FEA is typically invoked to compute displacement and temperature fields from known applied loads and heat fluxes. FEA has emerged in recent years as an essential resource for mechanical and structural designers. Its use is often mandated by standards such as the ASME Pressure Vessel Code by insurance requirements and even by law. Its acceptance has benefited from rapid progress in related computer hardware and software especially computer-aided design CAD systems. Today a number of highly developed user-friendly finite-element codes are available commercially. The purpose of this chapter is to introduce finite-element theory and practice. The next three chapters focus on linear elasticity and thermal response both static and dynamic of basic structural members. After that nonlinear thermomechanical response is considered. In FEA practice a design file developed using CAD is often imported into finite-element codes from which point little or no additional effort is required to develop the finite-element model and perform sophisticated thermomechanical analysis and simulation. CAD integrated with an analysis tool such as FEA is an example of computer-aided engineering CAE . CAE is a powerful resource with the potential of identifying design problems much more efficiently and rapidly than by trial and error. A major FEM application is the determination of stresses and temperatures in a component or member in locations where failure is thought most likely. If the stresses or temperatures exceed allowable or safe values the product can be redesigned and then reanalyzed. Analysis can be diagnostic supporting interpretation of product-failure data. Analysis also can be used to assess performance for example by determining whether the design-stiffness coefficient for a rubber spring is attained. 8.2 OVERVIEW OF THE FINITE-ELEMENT METHOD Consider a