A New Constitutive Model in the Theory of Plasticity—Part II: Examples

1995 ◽  
Vol 117 (4) ◽  
pp. 371-377 ◽  
Author(s):  
W. Jiang
Keyword(s):  
Plastic Strain ◽  
Constitutive Model ◽  
Closed Form ◽  
Hardening Model ◽  
Closed Form Solutions ◽  
Loading Paths ◽  
Theory Of Plasticity ◽  
Thin Walled Tube ◽  
Thin Walled

This part of the paper presents several examples to further demonstrate the hardening model proposed in the first part of the paper. Closed-form solutions are achieved for a thin-walled tube subjected to linear, rectangular, and circular loading paths, and the corresponding yield center loci and plastic strain trajectories are illustrated. The features of this model are further discussed.

A New Constitutive Model in the Theory of Plasticity—Part I: Theory

1995 ◽  
Vol 117 (4) ◽  
pp. 365-370 ◽  
Author(s):  
W. Jiang
Keyword(s):  
General Solution ◽  
Constitutive Model ◽  
Closed Form ◽  
Yield Surface ◽  
Kinematic Hardening ◽  
Material Response ◽  
Hardening Model ◽  
Theory Of Plasticity

By proposing two rules to regulate the movement of the yield surface, this paper develops a new kinematic hardening model in the theory of plasticity. A closed-form general solution is obtained in the case of linear stress paths, material response under cyclic loadings is discussed, and various tube problems are solved to demonstrate the model.

Closed form solutions for shear deformable thin-walled beams including global and through-thickness warping effects

2021 ◽  
Vol 158 ◽  
pp. 107190
Author(s):  
Arash Sahraei ◽  
Payam Pezeshky ◽  
Siriwut Sasibut ◽  
Feng Rong ◽  
Magdi Mohareb
Keyword(s):  
Closed Form ◽  
Closed Form Solutions ◽  
Thin Walled ◽  
Shear Deformable

Semi-Analytical Dynamic Analysis of Spiral-Grooved Mechanical Gas Face Seals

2003 ◽  
Vol 125 (2) ◽  
pp. 403-413 ◽  
Author(s):  
Brad A. Miller ◽  
Itzhak Green
Keyword(s):  
Constitutive Model ◽  
Dynamic Analysis ◽  
Closed Form ◽  
Prony Series ◽  
Closed Form Solutions ◽  
Face Seals ◽  
Mechanical Face Seal ◽  
Natural Response ◽  
Nonlinear Numerical Simulation ◽  
The Stability

A novel semi-analytical formulation is presented for the linearized dynamic analysis of spiral-grooved mechanical gas face seals. The linearized rotordynamic properties of the gas film are numerically computed and then represented analytically by a constitutive model consisting of a cosine modified Prony series. The cosine modification enables the Prony series to characterize the gas film properties of face seals in applications with large compressibility numbers. The gas film correspondence principle is then employed to couple the constitutive model to the dynamics of the mechanical face seal. Closed-form solutions are presented for the transient natural response to initial velocity conditions, the steady-state response to rotor runout and initial stator misalignment, the transmissibility ratios, and the stability threshold. Results from the closed-form solutions are all within a few percent of the results from a full nonlinear numerical simulation.

Sign in / Sign up

Export Citation Format

Share Document