An enhanced numerical procedure for the shakedown analysis in multidimensional loading domains. (December 2017)

• Record Type: Journal Article
• Authors: Spiliopoulos, K.V.; Panagiotou, K.D.
• Is Part Of: Computers & structures. Volume 193(2017)
• Page Start: 155
• Page End: 171
• Publication Date: 2017-12
• Subjects: Numerical algorithms -- Direct methods -- Cyclic loading -- Plasticity -- Shakedown -- Residual stresses; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2017.08.008
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: An enhanced direct method for the shakedown analysis of elastoplastic structures. Approach is twice as fast compared to the original one. Formulated in a 3D thermomechanical loading domain. Running time almost the same for 2D and 3D domains. Automation of the approach in any n-dimensional loading domain. Abstract: The Residual Stress Decomposition Method for Shakedown (RSDM-S) is a new iterative direct method to estimate the shakedown load in a 2-dimensional (2D) loading domain. It may be implemented to any existing finite element code, without the need to use a mathematical programming algorithm. An improved and enhanced RSDM-S is proposed herein. A new convergence criterion is presented that makes the procedure almost double as fast. At the same time, the procedure is formulated in a 3-dimensional (3D) polyhedral loading domain, consisting of independently varying mechanical and thermal loads. Using a cyclic loading program that follows the outline of this domain, it is shown that there is hardly any increase in the computational time when passing from a 2D to a 3D domain. Finally, keeping the efficiency, using an alternative cyclic loading program, an automation of the approach to any n-dimensional loading domain is presented. Examples of application are included.