scholarly journals Time Integration Schemes in Dynamic Problems- Effect of Damping on Numerical Stability and Accuracy

2016 ◽  
Author(s):  
Ashish Aeran ◽  
Hirpa G. Lemu
Keyword(s):  
Numerical Stability ◽  
Time Integration ◽  
Dynamic Problems ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Stability And Accuracy

A Mixed and Multi-Step Higher-Order Implicit Time Integration Family

2010 ◽  
Vol 224 (10) ◽  
pp. 2097-2108 ◽  
Author(s):  
M Rezaiee-Pajand ◽  
S R Sarafrazi
Keyword(s):  
Time Integration ◽  
Higher Order ◽  
Trapezoidal Rule ◽  
Implicit Time ◽  
Benchmark Problems ◽  
Integration Schemes ◽  
Implicit Time Integration ◽  
Time Integration Schemes ◽  
The Stability ◽  
Stability And Accuracy

This article develops a new time integration family for second-order dynamic equations. A combination of the trapezoidal rule and higher-order Newton backward extrapolation functions are utilized in the formulation. Five members of the suggested family are extensively studied in this article. Most members of the presented time integration family are new. The stability and accuracy of the proposed time integration schemes are investigated by solving some benchmark problems. Numerical results are checked and compared with well-known strategies. The findings of the article show the efficiency, accuracy and robustness of the suggested techniques.

scholarly journals Damaged behavior under plane stress

2011 ◽  
pp. 341-368
Author(s):  
Thomas Paris ◽  
Khémaïs Saanouni
Keyword(s):  
Plane Stress ◽  
Constitutive Equations ◽  
Stress Condition ◽  
Time Integration ◽  
Reference Case ◽  
Plane Stress Condition ◽  
Integration Schemes ◽  
Hyperbolic Sine ◽  
Time Integration Schemes ◽  
Fully Coupled

This paper deals with the numerical treatment of "advanced" elasto-viscoplasticdamage constitutive equations in the particular case of plane stress. The viscoplastic constitutive equations account for the mixed isotropic and kinematic non linear hardening and are fully coupled with the isotropic ductile damage. The viscous effect is indifferently described by a power function (Norton type) or an hyperbolic sine function. Different time integration schemes are used and compared to each other assuming plane stress condition, widely used when dealing with shell structures as well as to the 3D reference case.

3D nonlinear MHD calculations using implicit and explicit time integration schemes

1986 ◽  
Vol 65 (2) ◽  
pp. 253-272 ◽  
Author(s):  
L. Garcia ◽  
H.R. Hicks ◽  
B.A. Carreras ◽  
L.A. Charlton ◽  
J.A. Holmes
Keyword(s):  
Time Integration ◽  
Explicit Time Integration ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Implicit And Explicit
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