978-1-58503-579-3 -- ANSYS Tutorial (Rel 12.1)

®ANSYS Tutorial Release 12.1 Structural & Thermal Analysis Using the ANSYS Release 12.1 Environment Kent L. Lawrence Mechanical and Aerospace Engineering University of Texas at Arlington SDC PUBLICATIONS www.SDCpublications.com Schroff Development Corporation ANSYS Tutorial 2-1 Lesson 2 Plane Stress Plane Strain 2-1 OVERVIEW Plane stress and plane strain problems are an important subclass of general three-dimensional problems. The tutorials in this lesson demonstrate: ♦Solving planar stress concentration problems. ♦Evaluating potential inaccuracies in the solutions. ♦Using the various ANSYS 2D element formulations. 2-2 INTRODUCTION It is possible for an object such as the one on the cover of this book to have six components of stress when subjected to arbitrary three-dimensional loadings. When referenced to a Cartesian coordinate system these components of stress are: Normal Stresses σ , σ , σ x y z Shear Stresses τ , τ , τxy yz zx Figure 2-1 Stresses in 3 dimensions. In general, the analysis of such objects requires three-dimensional modeling as discussed in Lesson 4. However, two-dimensional models are often easier to develop, easier to solve and can be employed in many situations if they can accurately represent the behavior of the object under loading. 2-2 ANSYS Tutorial A state of Plane Stress exists in a thin object loaded in the plane of its ...