Main Article Content
IN THIS PAPER, NONLINEAR ANALYSIS OF THICK CYLINDRICAL SHELLS WITH ARBITRARY VARIABLE THICKNESS MADE OF HYPERELASTIC FGM WITH RADIALLY VARIATION OF MATERIAL PROPERTIES IN NEARLY INCOMPRESSIBLE STATE UNDER NON-UNIFORM PRESSURE LOADING IS PRESENTED. THICKNESS AND PRESSURE OF THE SHELL VARY IN AXIAL DIRECTION BY LINEAR AND/OR NONLINEAR FUNCTIONS. THE GOVERNING EQUILIBRIUM EQUATIONS ARE DERIVED BASED ON SHEAR DEFORMATION THEORY (SDT). THE MOONEY-RIVLIN TYPE MATERIAL IS CONSIDERED WHICH IS A SUITABLE HYPERELASTIC MODEL FOR RUBBERS. BOUNDARY LAYER METHOD OF THE PERTURBATION THEORY WHICH IS KNOWN AS MATCH ASYMPTOTIC EXPANSION (MAE) IS USED FOR SOLVING THE GOVERNING EQUATIONS. A NEW INGENIOUS SOLUTION AND FORMULATION HAVE BEEN DEFINED DURING CURRENT STUDY TO SIMPLIFY AND ABBREVIATE THE REPRESENTATION OF INNER AND OUTER EQUATIONS COMPONENTS IN MAE. IN ORDER TO VALIDATE THE RESULTS OF THE CURRENT ANALYTICAL SOLUTION, A NUMERICAL MODELING BASED ON FINITE ELEMENT METHOD (FEM) HAVE BEEN INVESTIGATED. AFTERWARDS, FOR DIFFERENT RUBBER CASE STUDIES, THE EFFECT OF MATERIAL CONSTANTS, INHOMOGENEITY INDEX, GEOMETRY AND PRESSURE PROFILES ON DISPLACEMENTS, STRESSES AND HYDROSTATIC PRESSURE DISTRIBUTIONS RESULTING FROM MAE AND FEM SOLUTION HAVE BEEN ILLUSTRATED. THIS APPROACH ENABLES INSIGHT INTO THE NATURE OF THE DEFORMATION AND STRESS DISTRIBUTION ACROSS THE WALL OF RUBBER VESSELS AND OFFERS THE POTENTIAL FOR INVESTIGATING THE MECHANICAL FUNCTIONALITY OF BLOOD VESSELS SUCH AS ARTERIES IN PHYSIOLOGICAL PRESSURE RANGE. THE RESULTS PROVE THE EFFECTIVENESS OF SDT AND MAE COMBINATION TO DERIVE AND SOLVE THE GOVERNING EQUATIONS OF NONLINEAR PROBLEMS SUCH AS NEARLY INCOMPRESSIBLE HYPERELASTIC FG SHELLS.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).