Repeatedly superimposed large elastic deformation

1996 ◽  
Vol 79 (1) ◽  
pp. R11-R15 ◽  
Author(s):  
V. A. Levin
Keyword(s):  
Elastic Deformation ◽  
Large Elastic Deformation

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

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

Large Elastic Deformation of an Inflatable Membrane of Revolution

AIAA Journal ◽  
1974 ◽  
Vol 12 (6) ◽  
pp. 761-766 ◽  
Author(s):  
C. E. S. UENG ◽  
Y. S. SUN
Keyword(s):  
Elastic Deformation ◽  
Large Elastic Deformation

Quasi-Variational Principles of Large Elastic Deformation in Non-Conservative Systems Based on Base Forces Theory and its Application

2008 ◽  
Author(s):  
Zongmin Liu ◽  
Lifu Liang ◽  
Tao Fan
Keyword(s):  
Elastic Deformation ◽  
Variational Principles ◽  
Analytic Solutions ◽  
Energy Principle ◽  
Conservative Systems ◽  
Generalized Displacements ◽  
Large Elastic Deformation ◽  
Base Forces ◽  
Basic Equations ◽  
Theory Framework

Based on base forces theory framework, the basic equations of time boundary value problem of large elastic deformation in non-conservative systems are defined. According to the corresponding relations between generalized forces and generalized displacements, the basic equations of elasto-dynamics are multiplied by corresponding virtual quantities, integrated and then added algebraically. Considering that both body forces and surface forces are fellow forces, the generalized Hamilton-type quasi-variational principles with three kinds of variables of large elastic deformation based on base forces theory in non-conservative systems are established. Then they are degenerated. Applying the Hamilton-type quasi-potential energy principle, analytic solutions of large deformation cantilever beam problem in non-conservative systems is obtained. Finally, some correlative problems are discussed.

scholarly journals Isogeometric parametrization inspired by large elastic deformation

2020 ◽  
Vol 363 ◽  
pp. 112920 ◽  
Author(s):  
Alexander Shamanskiy ◽  
Michael Helmut Gfrerer ◽  
Jochen Hinz ◽  
Bernd Simeon
Keyword(s):  
Elastic Deformation ◽  
Large Elastic Deformation

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.

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