Axi-Symmetric Finite Elements for Viscoelastic Analysis - Kumar, Nitesh
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Viscoelastic materials like solid propellant grains exhibit material properties, which are timedependent and incompressible in nature. The displacement based finite elements fails to solve structural problem having incompressible materials. The basic reason is Poisson's ratio approaches 0.5 for such materials. Which makes the constitutive relation between stress and strain very stiff there by the stiffness matrix becomes very stiff which yields very poor displacement results and predicted stresses and strains are unreliable. This phenomenon is known as volumetric locking. To overcome this…mehr

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Produktbeschreibung
Viscoelastic materials like solid propellant grains exhibit material properties, which are timedependent and incompressible in nature. The displacement based finite elements fails to solve structural problem having incompressible materials. The basic reason is Poisson's ratio approaches 0.5 for such materials. Which makes the constitutive relation between stress and strain very stiff there by the stiffness matrix becomes very stiff which yields very poor displacement results and predicted stresses and strains are unreliable. This phenomenon is known as volumetric locking. To overcome this difficulty special formulations are needed to address such materials. There are many methods available in literature like Hybrid-stress displacement formulation, B-Bar method and Herrmann formulation etc. This project is proposed to develop 8-noded quadrilateral, 9-noded quadrilateral and 6 noded triangular axisymmetric finite elements based on Herrmann formulation to overcome the difficulty of incompressible materials. The developed elements will be studied for its applicability for the ranges of Poisson's ratio and for distortion sensitiveness.
Autorenporträt
Mr. Nitesh Kumar pursued his BE in Mechanical Engineering in the year 2004 from St. Joseph Engineering College Mangalore. Thereafter, he obtained M.Tech in Computer Aided Mechanical Design & Analysis in the year 2010 from Manipal Institute of Technology, Manipal. His area of Interest are Finite Element Analysis, CFD & Bio Mechanics.