1997
DOI: 10.1179/mst.1997.13.3.210
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Constitutive equations for high temperature flow stress of aluminium alloys

Abstract: Constitutive equations for the relationship between stress, strain, strain rate, and temperature are an essential input for modelling thermomechanical processing. Hot plane strain compression testing was used to deform commercial purity aluminium, AI-1Mn, and AI-1Mg alloys at temperatures of300, 400, and 500°C and equivalent strain rates of 0·25, 2'5, and 25 S-l, to an equivalent strain of2. Flow stress data obtainedfrom these tests were analysed using the Sah et al. and hyperbolic sine forms of relationships.… Show more

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Cited by 172 publications
(73 citation statements)
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“…These relationships model a viscoplastic behaviour linking the flow stress with temperature, strain and strain rate. The values of the parameters used in the above formulae (A 1 , A 2 , B 1 , B 2 , C 1 , C 2 , n 0 , n ss , m, Q def ) were fitted to stress/strain data obtained through hot plane strain compression tests [13] The roll was modelled as steel working within its elastic response. Table 3 shows the physical constants used in the model for both roll and slab.…”
Section: Methodsmentioning
confidence: 99%
“…These relationships model a viscoplastic behaviour linking the flow stress with temperature, strain and strain rate. The values of the parameters used in the above formulae (A 1 , A 2 , B 1 , B 2 , C 1 , C 2 , n 0 , n ss , m, Q def ) were fitted to stress/strain data obtained through hot plane strain compression tests [13] The roll was modelled as steel working within its elastic response. Table 3 shows the physical constants used in the model for both roll and slab.…”
Section: Methodsmentioning
confidence: 99%
“…According to Jonas et al [14], Huang et al [15], and Shi et al [16], the strain rate ( . ε) can be expressed as a function of flow stress (σ) by Equation (3) .…”
Section: Governing Equationsmentioning
confidence: 98%
“…According to Jonas et al [14], Huang et al [15], and Shi et al [16], it is assumed that the relationship between σ P and . ε N at temperatures 673-723 K and 773-823 K follows Equations (4) and (3), respectively.…”
Section: Identification Of Parametersmentioning
confidence: 99%
“…The maximum applicable stress values define a minimum stressor layer thickness that we have to ensure for a successful exfoliation process. As the flow stress strongly depends on temperature and strain rate 34,35 the values from the XRD measurement might not be the correct absolute stress values to define a hard limit. However, the thinnest high-purity Al layer that we could use for a successful exfoliation process had a thickness of 100 lm, in accordance with the graph in Fig.…”
Section: B Minimum Al Layer Thickness For Exfoliationmentioning
confidence: 99%
“…Besides the material composition, the hardening coefficient H Al also depends on the absolute processing temperature and the cooling rate. 34 If it is not possible to avoid temperatures during processing that would lead to interface debonding, the introduction of a textured Al-Si interface would be an option to expand the processing limits, as the critical energy release rate for debonding scales with the area of the interface. Hence, our results imply that MEMO-layers are wellsuited for low-temperature solar cell processing up to at least 210°C, depending on the particular properties of the Al layer, and are thus compatible with the proposed module level processing concept.…”
Section: B Mechanical Stability Of Memo Bilayersmentioning
confidence: 99%