Benchmarks for finite element analysis of creep continuum damage mechanics

Becker, A.A.; Hyde, T H; Sun, Wei; Andersson, Patrik

doi:10.1016/s0927-0256(02)00247-1

Cited by 58 publications

(38 citation statements)

References 7 publications

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“…A detailed structural analysis by taking into account hardening and damage can be performed by the use of the finite element method, e.g. [3,14]. To this end the a constitutive model with internal state variables must be developed and coded inside a finite element solver.…”

Section: Discussionmentioning

confidence: 99%

Creep analysis with a stress range dependent constitutive model

2009

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Many materials exhibit the stress range dependent creep behavior. The power law creep observed for a certain stress range changes to the viscous type creep as the stress value decreases. Recently published experimental data for advanced heat resistant steels indicate that the high creep exponent (in the range 7-12) may decrease to the low value of approximately unity within the stress range relevant for engineering structures. The aim of this paper is to analyze the influence of the stress range dependent power-law-viscous creep transition on the behavior of structures at elevated temperature. A constitutive model for the minimum creep rate is introduced to describe both the linear and the power law creep depending upon the stress level. To demonstrate basic features of the stress range dependent creep modeling, several elementary examples from structural mechanics are presented. They include a stress relaxation problem, a beam subjected to pure bending and a pressurized thick-walled cylinder. Based on the uni-axial transition stress the transition value of the external load is estimated such that above this value the power law can be applied. For the loading levels below this value the character of the stress distribution as well as the stress values are essentially influenced by the viscous creep.

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Section: Discussionmentioning

confidence: 99%

Creep analysis with a stress range dependent constitutive model

2009

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“…P c n ,Ṗ c are the extensions of the rates of the fictitious normal and tangential components of the contour forces due to creepṖ (45) in Equation (43), and taking into account the features of the linear differential operators in Equation (42) and the following formulas:…”

Section: Application Of the R-functions Theorymentioning

confidence: 99%

“…The material of the plate is taken to be a titanium alloy at a temperature of 650 • C having the same properties in tension and compression [42]. The elastic constants used are E = 89.5 GPa and = 0.3.…”

Section: Tertiary Creep Of a Square Plate With A Round Central Hole Mmentioning

confidence: 99%

“…The failure initiation time prediction in [42] was found using the explicit Euler's method in the time-integration procedure and the finite element method to obtain the solutions of a linearized boundary-value problem. Thus, the comparison of the present model prediction with the result by Becker et al [42] can be considered as satisfactory.…”

Section: Tertiary Creep Of a Square Plate With A Round Central Hole Mmentioning

confidence: 99%

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Numerical modeling of creep and creep damage in thin plates of arbitrary shape from materials with different behavior in tension and compression under plane stress conditions

Zolochevsky

Sklepus

Hyde

et al. 2009

Numerical Meth Engineering

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SUMMARYA constitutive model for describing the creep and creep damage in initially isotropic materials with characteristics dependent on the loading type, such as tension, compression and shear, has been applied to the numerical modeling of creep deformation and creep damage growth in thin plates under plane stress conditions. The variational approach of establishing the basic equations of the plane stress problem under consideration has been introduced. For the solution of two-dimensional creep problems, the fourth-order Runge-Kutta-Merson's method of time integration, combined with the Ritz method and R-functions theory, has been used. Numerical solutions to various problems have been obtained, and the processes of creep deformation and creep damage growth in thin plates of arbitrary shape have been investigated. The influence of tension-compression asymmetry on the stress-strain state and damage evolution, with time, in thin plates of arbitrary shape, has been discussed.

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“…1. The bar is assumed to be made of the titanium alloy at 650 8C with Elastic Modulus EZ89500 MPa, Poisson's ratio, nZ0.3 and the following creep and damage material constants [5]:…”

Section: Uniaxial Problemmentioning

confidence: 99%

3D boundary element analysis of creep continuum damage mechanics problems

Gün

2005

Engineering Analysis with Boundary Elements

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Benchmarks for finite element analysis of creep continuum damage mechanics

Cited by 58 publications

References 7 publications

Creep analysis with a stress range dependent constitutive model

Creep analysis with a stress range dependent constitutive model

Numerical modeling of creep and creep damage in thin plates of arbitrary shape from materials with different behavior in tension and compression under plane stress conditions

3D boundary element analysis of creep continuum damage mechanics problems

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