Creep Problems in Structural Members

Rabotnov, Yu. N.; Leckie, F. A.; Prager, William

doi:10.1115/1.3408479

Cited by 597 publications

(591 citation statements)

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“…Kachanov does not predict tertiary creep for conditions of constant stress. Rabotnov's contribution [10] was to couple the development of damage with the creep rate through an increase in stress associated with a reduction in load bearing area as the damage, by implication cavitation, developed. This leads to an accelerating creep rate (i.e.…”

Section: Effect Of Grain Boundary Cavitationmentioning

confidence: 99%

“…[8] There have also been several attempts to develop equations that reflect the mechanisms influencing creep deformation. Kachanov [9] and Rabotnov [10] expressed creep rate as a function of an undefined damage parameter; others extended this approach to the development of equations that reflected specific types of damage that were material and load/temperature specific. [11] All of these approaches lead to multi-parameter representations, which are calibrated against mechanical property data.…”

Section: Introductionmentioning

confidence: 99%

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A Generic Microstructure-Explicit Model of Creep in Nickel-Base Superalloys

Basoalto¹,

Sondhi²,

Dyson³

et al. 2004

Superalloys 2004 (Tenth International Symposium)

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Past approaches to modelling the creep behaviour of engineering alloys have been either totally empirical or, while having functional forms consistent with current understanding of deformation and fracture mechanisms, have been calibrated by comparison with an available creep database. They have not specifically included quantitative measures of the microstructural features that are thought to impart creep resistance to the alloys. The present paper reviews and extends a microstructure-specific model of creep in particle-strengthened alloys in which the model parameters are directly related to measurable characteristics of the microstructure of nickel-base superalloys. The model accounts for three previously identified changes in microstructure that occur during the creep of superalloys: (i) coarsening of the precipitate; (ii) the progressive increase in mobile dislocation density with accumulated creep strain; and (iii) the development of grain boundary cavities. The relative dominance of each will be demonstrated using a set of commercial alloys with specific alloy microstructures. It is emphasised that the model-generated curves are true predictions using input microstructural characteristics and are not empirically fitted to the creep data.

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Section: Effect Of Grain Boundary Cavitationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Generic Microstructure-Explicit Model of Creep in Nickel-Base Superalloys

Basoalto¹,

Sondhi²,

Dyson³

et al. 2004

Superalloys 2004 (Tenth International Symposium)

View full text Add to dashboard Cite

show abstract

“…time) as it is assumed in Section 3. Nevertheless, looking through the proofs (see [1]) of statements recalled in Section 3, one can see that all estimates could be justified also for right-hand side functions, integral kernels (after integration) and instantaneous elastic coefficient from…”

Section: Space-time Finite Element Approximation and Numerical Solutionmentioning

confidence: 99%

“…(ii) The a hk i j (x, t, τ ) may also be kernels of the Abel type (e.g., relaxation kernels of concrete, rocks [1], polymers [2]):…”

Section: Definition Of the Problemmentioning

confidence: 99%

Space-time finite element approximation andnumerical solution of hereditary linearviscoelasticity problems

Orlik¹,

Ostrovska²

2008

Comput.appl.math.

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Abstract. In this paper we suggest a fast numerical approach to treat problems of the hereditary linear viscoelasticity, which results in the system of elliptic partial differential equations in space variables, who's coefficients are Volterra integral operators of the second kind in time. We propose to approximate the relaxation kernels by the product of purely time-and space-dependent terms, which is achieved by their piecewise-polynomial space-interpolation. A priori error estimate was obtained and it was shown, that such approximation does not decrease the convergence order, when an interpolation polynomial is chosen of the same order as the shape functions for the spatial finite element approximation, while the computational effort is significantly reduced.Mathematical subject classification: 22E46, 53C35, 57S20.Key words: hereditary viscoelasticity; kern approximation by interpolation; space-time finite element approximation, stability and a priori estimate.

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“…One of the most popular is the Robinson model (rule) of linear accumulation of partial life-times, (Robinson, 1938(Robinson, , 1952) (see also e.g. Rabotnov, 1969;Penny and Marriott, 1971), which allows to calculate the life-time t * = t * (σ) under a variable process σ(τ ) from the durability diagram under constant loads, t * 0 (σ), by equation ∫ t * 0 dτ t * 0 (σ(τ )) = 1.…”

Section: Introductionmentioning

confidence: 99%

History-sensitive accumulation rules for life-time prediction under variable creep loading

Mikhailov¹,

Namestnikova

2011

Arch Appl Mech

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A general form of temporal strength conditions under variable creep loading is employed to formulate several new phenomenological accumulation rules based on the constant-loading durability diagram. Unlike the well-known Robinson rule of linear accumulation of partial life-times, the new rules allow to describe the life-time sensibility to the load sequence, observed in experiments. Comparison of one of the new rules with experimental data shows that it fits the data much more accurately than the Robinson rule.

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Creep Problems in Structural Members

Cited by 597 publications

References 0 publications

A Generic Microstructure-Explicit Model of Creep in Nickel-Base Superalloys

A Generic Microstructure-Explicit Model of Creep in Nickel-Base Superalloys

Space-time finite element approximation andnumerical solution of hereditary linearviscoelasticity problems

History-sensitive accumulation rules for life-time prediction under variable creep loading

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