Accurate solution of traction free boundaries using hybrid stress membrane elements with drilling degrees of freedom

2004 ◽  
Vol 82 (23-26) ◽  
pp. 2071-2081 ◽  
Author(s):  
Albert A. Groenwold ◽  
Q.Z. Xiao ◽  
N.J. Theron
Keyword(s):  
Degrees Of Freedom ◽  
Accurate Solution ◽  
Free Boundaries ◽  
Drilling Degrees Of Freedom ◽  
Hybrid Stress

Quasi-Static Crack Propagation Modeling Using Shape-Free Hybrid Stress-Function Elements with Drilling Degrees of Freedom

2016 ◽  
Vol 13 (03) ◽  
pp. 1650014 ◽  
Author(s):  
Song Cen ◽  
Yi Bao ◽  
Chen-Feng Li
Keyword(s):  
Crack Propagation ◽  
Stress Function ◽  
Degrees Of Freedom ◽  
Singular Element ◽  
Propagation Modeling ◽  
Drilling Degrees Of Freedom ◽  
Simulation Step ◽  
Crack Tips ◽  
Modeling Strategy ◽  
Hybrid Stress

A new plane shape-free multi-node singular hybrid stress-function (HS-F) element with drilling degrees of freedom, which can accurately capture the stress intensity factors at the crack tips, is developed. Then, a quasi-static 2D crack propagation modeling strategy is established by combination of the new singular element and a shape-free 4-node HS-F plane element with drilling degrees of freedom proposed recently. Only simple remeshing with an unstructured mesh is needed for each simulation step. Numerical results show that the proposed scheme is an effective and robust technique for dealing with the crack propagation problems.

Beam-Vibration Analysis With the Electric-Analog Computer

1950 ◽  
Vol 17 (1) ◽  
pp. 13-26
Author(s):  
G. D. McCann ◽  
R. H. MacNeal
Keyword(s):  
Steady State ◽  
Vibration Analysis ◽  
Degrees Of Freedom ◽  
Analog Computer ◽  
Accurate Solution ◽  
Rotary Inertia ◽  
Beam Vibration ◽  
Lumped Constant ◽  
Electric Analog

Abstract The authors have developed a true dynamic analogy which has been used with the Cal Tech electric-analog computer for the rapid and accurate solution of both steady-state and transient beam problems. This analogy has been found well suited to the study of beams having several coupled degrees of freedom, including torsion, simple bending, and bending in a plane. Damping and effects such as rotary inertia may be handled readily. The analogy may also be used in the study of systems involving combined beams and “lumped-constant” elements.

Sign in / Sign up

Export Citation Format

Share Document