Practical implementation of the double linear damage rule and damage curve approach for treating cumulative fatigue damage

Manson, S. S.; Halford, Gary R.

doi:10.1007/bf00053519

Cited by 438 publications

(262 citation statements)

References 6 publications

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“…Fatigue lifetime prediction models have been based on inelastic strain, total strain, stress and other approaches. Common empirical correlations to predict fatigue lifetime include the Basquin Law, [35] the Coffin-Manson relation, [36] the Coffin-Halford formula, [37] and Neuber's rule. [35] In this work, the inelastic strain is much higher than the elastic strain, so a simplified Coffin-Manson approach, [36,38] appears most appropriate:…”

Section: E Fatigue Lifementioning

confidence: 99%

Modeling creep and fatigue of copper alloys

Thomas

Stubbins

2000

Metall Mater Trans A

115

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This paper reviews expressions to quantify thermal creep and fatigue lifetime for four copper alloys, Cu-Ag-P, Cu-Cr-Zr, Cu-Ni-Be and Cu-Al 2 O 3 . These property models are needed to simulate the mechanical behavior of structures with copper components that are subjected to high heat flux and fatigue loading conditions, such as molds for the continuous casting of steel and the first wall in a fusion reactor. Then, measurements of four-point bending fatigue tests were conducted on two-layered specimens of copper alloy and stainless steel, and thermal ratchetting behavior was observed at 250 °C. The test specimens were modeled with a two-dimensional elastic-plastic-creep finite-element model using ABAQUS. To match the measurements, a primary thermal creep law was developed for Cu-0.28% Al 2 O 3 for stress levels up to 500 MPa, and strain rates from 10 -8 -10

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Section: E Fatigue Lifementioning

confidence: 99%

Modeling creep and fatigue of copper alloys

Thomas

Stubbins

2000

Metall Mater Trans A

115

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“…Manson and Halford (1981) proposed the d<;>uble linear rule primarily based on the damage curve approach for treating cumulative fatigue damage. In their paper, an effort was made to mathematically represent the damage curve and approximate it by two piecewise line segments.…”

Section: Results Of Simulation Experimentsmentioning

confidence: 99%

“…In the damage curve approach described above, the 'Y-parameter is usually assumed to be dependent solely on the stress amplitude level [Manson and Halford (1981) The 'Y-parameter was found to have the following form: ' Y = (2I3)Np·4, where Nf is the number of cycles to failure under a constant load amplitude. For example, if Nf is assumed to be 10 5 cycles, the 'Y-parameter is then equal to 66.7 which appears to be extremely high especially for damage computation when D«1.…”

Section: Results Of Simulation Experimentsmentioning

confidence: 99%

Damage-mitigating control of space propulsion systems for high performance and extended life

Ray

Dai

et al. 1993

29th Joint Propulsion Conference and Exhibit

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A major goal in the control of complex mechanical systems such as spacecraft rocket engines, advanced aircraft, and power plants is to achieve high performance with increased reliability, availability, component durability, and maintainability. The current practice of decision and control systems synthesis focuses on improving performance and diagnostic capabilities under constraints that often do not adequately represent the materials degradation. In view of the high performance requirements of the system and availability of improved materials, the lack of appropriate knowledge about the properties of these materials will lead to either less than achievable performance due to overly conservative design, or over-straining of the structure leading to unexpected failures and drastic reduction of the service life. The key idea in this repon is that a significant improvement in service life could be achieved by a small reduction in the system dynamic performance. The major task is to characterize the damage generation process, and then utilize this information in a mathematical form to synthesize a control law that would meet the system requirements and simultaneously satisfy the constraints that are imposed by the material and structural properties of the critical components.The concept of damage mitigation is introduced for control of mechanical systems to achieve high performance with a prolonged life span. A model of fatigue damage dynamics is formulated in the continuous-time setting, instead of a cycle-based representation, for direct application to control systems synthesis. An optimal control policy is then formulated via nonlinear programming under specified constraints of the damage rate and accumulated damage. The results of simulation experiments for the transient upthrust of a bipropellant rocket engine are presented to demonstrate efficacy of the damage-mitigating control concept

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“…Grover (1960) divided the damage growth into two such phases, and then proposed post facto (after examining multi-level load data) damage formulae. The idea of two such phases was adopted and adapted by Manson et al (1967) and Manson & Halford (1981, 1986 into the well-known double linear damage rule (DLDR). The DLDR has been viewed as a credible alternative to Miner's rule.…”

Section: Literature Reviewmentioning

confidence: 99%

A constructive empirical theory for metal fatigue under block cyclic loading

2008

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Much modern engineering design work uses S -N curves and empirical applications thereof. In industry, currently popular methods for predicting fatigue life under complex loading use ad hoc cycle counting algorithms along with Miner's rule, in spite of its known weaknesses. Many ad hoc alternatives to Miner's rule have been proposed, each with limited experimental justification. Of these, Manson's double linear damage rule (DLDR) is widely considered to be good. In this paper, we bring a new perspective to empirical, as opposed to mechanistic, fatigue damage evolution models. It is first assumed, with reasonable justification, that there is a scalar, abstract, damage variable f, whose evolution under cyclic loading satisfies _ fZ af m , where a and m are unknown functions of load parameters. One main contribution of the paper lies in deducing what the functions a and m must be in order to obtain consistency with fatigue data in handbooks. A small correction to this basic power law model is then developed. The final explicit model initially has 10 unknown fitted parameters, but these are brought down to three unknowns; the accompanying discussion is the other main contribution of the paper. Finally, comparison with Manson's and other data suggests that, with two fitted parameters, our model works as well as the DLDR and much better than Miner's rule. For other parameter choices, our model reduces to Miner's rule. We conclude with speculation about ways in which the model might be extended beyond the scope of the DLDR.

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Practical implementation of the double linear damage rule and damage curve approach for treating cumulative fatigue damage

Cited by 438 publications

References 6 publications

Modeling creep and fatigue of copper alloys

Modeling creep and fatigue of copper alloys

Damage-mitigating control of space propulsion systems for high performance and extended life

A constructive empirical theory for metal fatigue under block cyclic loading

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