On drilling degrees of freedom in nonlinear elasticity and a hyperelastic material description in terms of the stretch tensor. Part 1: Theory

1995 ◽  
Vol 113 (1-4) ◽  
pp. 21-35 ◽  
Author(s):  
H. Bufler
Keyword(s):  
Nonlinear Elasticity ◽  
Degrees Of Freedom ◽  
Hyperelastic Material ◽  
Stretch Tensor ◽  
Drilling Degrees Of Freedom ◽  
Tensor Part

scholarly journals Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness

2018 ◽  
Vol 5 (6) ◽  
pp. 180139 ◽  
Author(s):  
H. Tanaka ◽  
K. Hamada ◽  
Y. Shibutani
Keyword(s):  
Exact Solution ◽  
Transition State ◽  
Nonlinear Elasticity ◽  
External Force ◽  
Degrees Of Freedom ◽  
Critical Value ◽  
Uniaxial Load ◽  
Transition Mechanism ◽  
Two Systems ◽  
Load Displacement

A specific periodic bar-and-joint framework with limited degrees of freedom is shown to have a transition mechanism when subjected to an external force. The static nonlinear elasticity of this framework under a uniaxial load is modelled with the two angular variables specifying the rotation and distortion of the linked square components. Numerically exploring the equilibrium paths then reveals a transition state of the structure at a critical value of the internal stiffness. A simplified formulation of the model with weak nonlinear terms yields an exact solution of its transition state. Load–displacement behaviour and stability for the two systems with or without approximation are analysed and compared.

scholarly journals FRACTURE MECHANICS PARAMETER COMPUTATION USING GENERALIZED FINITE ELEMENT WITH DRILLING DEGREES OF FREEDOM

2007 ◽  
Vol 63 (3) ◽  
pp. 464-474
Author(s):  
Yasuyuki KANDA ◽  
Hiroshi OKADA ◽  
Shigeo IRAHA ◽  
Jun TOMIYAMA ◽  
Genki YAGAWA
Keyword(s):  
Finite Element ◽  
Fracture Mechanics ◽  
Degrees Of Freedom ◽  
Drilling Degrees Of Freedom ◽  
Generalized Finite Element
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