Nonlinear stress and deformation analysis of pressurized thick-walled hyperelastic cylinders with experimental verifications and material identifications. (December 2020)

• Record Type: Journal Article
• Authors: Shariyat, M.; Khosravi, M.; Yazdani Ariatapeh, M.; Najafipour, M.
• Is Part Of: International journal of pressure vessels and piping. Volume 188(2020)
• Publication Date: 2020-12
• Subjects: Direct hyperelasticity -- Neo-hookean and Mooney-Rivlin models -- Stress analysis -- Thick cylindrical pressure vessels and piping -- Experimental verifications; Pressure vessels -- Periodicals; Pipe -- Periodicals; Récipients sous pression -- Périodiques; Tuyaux -- Périodiques; Pipe; Pressure vessels; Periodicals; 681.76041
• DOI: 10.1016/j.ijpvp.2020.104211
• Languages: English
• ISSNs: 0308-0161

Abstract

Abstract: The main purpose of the present research is the investigation of the stress and displacement distributions of the internally pressurized thick-walled hyperelastic cylindrical vessels or pressure pipes. The governing equations are derived by incorporation of the incompressible neo-Hookean and Mooney-Rivlin hyperelastic constitutive models into the direct hyperelasticity theory in the von Karman framework of large deformations. In contrast to all the available researches, no simplifications or linearization are made. The non-linear governing equations are solved by utilizing a second-order point-collocation procedure and implementation of details of the proposed incremental iterative solution scheme in the Matlab code written by the authors. Another novelty of the present research is experimentally identifying the employed polymeric hyperelastic material and verification of the results through experiments conducted by the authors. Due to using both nonlinear constitutive laws and nonlinear stress-displacement relations, through-thickness distributions of the radial displacement and radial and circumferential stresses are extracted for various pressures. The experimental results reveal that while the neo-Hookean hyperelastic model cannot be used for materials with stress-softening, the Mooney-Rivlin model reproduces the experimental results with excellent accuracy. In addition to the experimental verification, the results are verified by the Abaqus finite element analysis code as well. Highlights: Direct hyperelasticity theory is used for the thick pressurized cylinders. Distributions of the radial displacement and radial and hoop stresses are studied. Large deformation and material nonlinearities are considered without simplifications. Results extracted by a special second-order point-collections solution technique. Experiments are performed for material identification and verification purposes.