tailieunhanh - Ebook A first course in the finite element method (5th edition): Part 2

(BQ) Part 2 book "A first course in the finite element method" has contents: Practical considerations in modeling; interpreting results; and examples of plane stress–strain analysis; three dimensional stress analysis, plate bending element, heat transfer and mass transport, thermal stress, structural dynamics and time dependent heat transfer,. and other contents. | CHAPTER 7 PRACTICAL CONSIDERATIONS IN MODELING; INTERPRETING RESULTS; AND EXAMPLES OF PLANE STRESS--STRAIN ANALYSIS d CHAPTER OBJECTIVES . To present concepts that should be considered when modeling for a solution by the finite element method, such as aspect ratio, symmetry, natural subdivisions, sizing of elements and the h, p, and r methods of refinement, concentrated loads and infinite stress, infinite medium, and connecting different kinds of elements. . To describe some of the approximations inherent in finite element solutions. . To illustrate convergence of solution and introduce the patch test for convergence of solution. . To discuss the interpretation of stresses in an element, including a common method of averaging the nodal values (also called smoothing). . To consider the concept of static condensation as a method used in some computer programs to develop the stiffness matrix of a quadrilateral element. . To present a flowchart of a typical finite element process used for the analysis of plane stress and plane strain. . To demonstrate various real-world applications where plane stress--strain element models are applicable. Such examples include a bicycle wrench, a connecting rod with notch and hole stress concentrations, an irregularly shaped overload protection device, an irregularly shaped dam, and a beam welded to a column with surface contact elements to allow the separation of surface between beam and column during the beam flexing. Introduction In this chapter, we will describe some modeling guidelines, including generally recommended mesh size, natural subdivisions modeling around concentrated loads, and more on use of symmetry and associated boundary conditions. This is followed by 384 Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any .