Large Elastic Deformation of Shear Deformable Shells of Revolution: Numerical and Experimental Results

1988 ◽  
Vol 55 (3) ◽  
pp. 629-634 ◽  
Author(s):  
M. H. Kempski ◽  
L. A. Taber ◽  
Fong-Chin Su
Keyword(s):  
Numerical Solution ◽  
Elastic Deformation ◽  
Tensile Tests ◽  
Large Strains ◽  
Shells Of Revolution ◽  
Strain Energy Density Function ◽  
High Inflation ◽  
Large Elastic Deformation ◽  
Shell Equations ◽  
Shear Deformable

Through an integrating matrix approach, a numerical solution is obtained to the equations governing large elastic deformation of a clamped circular cylinder due to internal pressure. The shell equations include the effects of large strains, thickness changes, and transverse shear deformation. The numerical solution is compared to results from an asymptotic analysis and from experiments on rubber cylinders. A specialized Rivlin-Saunders strain-energy density function is assumed for the rubber, with material constants determined from tensile tests and deformed cylinder profiles at a high inflation pressure.

Large Elastic Deformation of Shear Deformable Shells of Revolution: Theory and Analysis

1987 ◽  
Vol 54 (3) ◽  
pp. 578-584 ◽  
Author(s):  
L. A. Taber
Keyword(s):  
Shear Deformation ◽  
Axisymmetric Deformation ◽  
Large Strains ◽  
Normal Strain ◽  
Shells Of Revolution ◽  
Incompressible Hyperelastic Material ◽  
Large Elastic Deformation ◽  
Spherical Caps ◽  
Transition Points ◽  
Thick Shells

Large axisymmetric deformation of pressurized shells of revolution is studied. The governing equations include the effects of transverse normal strain and transverse shear deformation for shells composed of an incompressible, hyperelastic material. Asymptotic solutions to the equations are developed which are valid for moderately large strains. Application to Mooney-Rivlin clamped spherical caps reveals that, for large enough bending and stretching, the consequences of shear deformation include: (1) bending moments can decrease at the edge after the load passes a critical point; (2) even thick shells can behave as membranes; (3) transition points can occur in the shell which divide regions of shell-like behavior from regions of membrane-like behavior.

Effect of NiTi matrix grain size on the ultra-large elastic deformation of V nanowires in a V/NiTi composite

2021 ◽  
Vol 29 ◽  
pp. 102779
Author(s):  
Xudong Yao ◽  
Wang Tang ◽  
Zhonghui Sun ◽  
Xiaobin Shi ◽  
Yongqiang Wang ◽  
...  
Keyword(s):  
Grain Size ◽  
Elastic Deformation ◽  
Large Elastic Deformation ◽  
Niti Matrix

The Axisymmetric Deformation of Linearly and Nonlinearly Elastic Spinning Tubes Under End Thrusts and Torques

1998 ◽  
Vol 65 (1) ◽  
pp. 99-106
Author(s):  
T. J. McDevitt ◽  
J. G. Simmonds
Keyword(s):  
Anisotropic Material ◽  
Large Strain ◽  
Axisymmetric Deformation ◽  
Large Strains ◽  
Shells Of Revolution ◽  
Large Rotation ◽  
Elastic Tubes ◽  
Axisymmetric Bending ◽  
Combined Parameters ◽  
Nonlinearly Elastic

We consider the steady-state deformations of elastic tubes spinning steadily and attached in various ways to rigid end plates to which end thrusts and torques are applied. We assume that the tubes are made of homogeneous linearly or nonlinearly anisotropic material and use Simmonds” (1996) simplified dynamic displacement-rotation equations for shells of revolution undergoing large-strain large-rotation axisymmetric bending and torsion. To exploit analytical methods, we confine attention to the nonlinear theory of membranes undergoing small or large strains and the theory of strongly anisotropic tubes suffering small strains. Of particular interest are the boundary layers that appear at each end of the tube, their membrane and bending components, and the penetration of these layers into the tube which, for certain anisotropic materials, may be considerably different from isotropic materials. Remarkably, we find that the behavior of a tube made of a linearly elastic, anisotropic material (having nine elastic parameters) can be described, to a first approximation, by just two combined parameters. The results of the present paper lay the necessary groundwork for a subsequent analysis of the whirling of spinning elastic tubes under end thrusts and torques.

Large elastic deformation of micromorphic shells. Part II. Isogeometric analysis

2019 ◽  
Vol 24 (12) ◽  
pp. 3753-3778 ◽  
Author(s):  
Amir Norouzzadeh ◽  
Reza Ansari ◽  
Mansour Darvizeh
Keyword(s):  
Finite Element ◽  
Elastic Deformation ◽  
Isogeometric Analysis ◽  
Constitutive Relations ◽  
Kinematic Model ◽  
Benchmark Problems ◽  
Element Analysis ◽  
Deformation Problem ◽  
Macro Scale ◽  
Large Elastic Deformation

In Part I of this study, a variational formulation was presented for the large elastic deformation problem of micromorphic shells. Using the novel matrix-vector format presented for the kinematic model, constitutive relations, and energy functions, an isogeometric analysis (IGA)-based solution strategy is developed, which appropriately estimates the macro- and micro-deformation field components. Due to the capability of constructing exact geometries and the powerful mesh refinement tools, IGA can be successfully applied to solve the equilibrium equations with dominant nonlinear terms. It is known that different types of locking phenomena take place in the conventional finite element analysis of thin shells based on low-order elements. Non-standard finite element models with mixed interpolation schemes and additional degrees of freedom (DOFs) or the ones used the high-order Lagrangian shell elements which require high computational costs, are the available solutions to tackle locking issues. The present 16-DOFs IGA is found to be efficient because of possessing a good rate of convergence and providing locking-free stable responses for micromorphic shells. Such a conclusion is found from several comparative studies with available data in the well-known macro-scale benchmark problems based on the classical elasticity as well as the corresponding numerical examples studied in nano-scale beam-, plate-, cylindrical shell- and spherical shell-type structures on the basis of the micromorphic continuum theory.

scholarly journals Large Elastic Deformation and Defect Tolerance of Hexagonal Boron Nitride Monolayers

2020 ◽  
Vol 1 (8) ◽  
pp. 100172 ◽  
Author(s):  
Ying Han ◽  
Shizhe Feng ◽  
Ke Cao ◽  
Yuejiao Wang ◽  
Libo Gao ◽  
...  
Keyword(s):  
Boron Nitride ◽  
Elastic Deformation ◽  
Hexagonal Boron Nitride ◽  
Defect Tolerance ◽  
Large Elastic Deformation
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