Constitutive Models

Naumenko, Konstantin; Altenbach, Holm

doi:10.1007/978-3-319-31629-1_5

Cited by 3 publications

(4 citation statements)

References 148 publications

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“…As an example to demonstrate the calculation capabilities, a comparison with experimental data obtained for aluminum specimens was used. As can be seen from Figure 1, the creep curves of this alloy are typical for the deformation of light alloys, 1,2 which can have a maximum strain level of 30%–60% and, even more (see e.g. Vilamosa et al, 42 Konkin and Morachkovskii, 43 and Li et al 44 ).…”

Section: Discussionmentioning

confidence: 81%

“…Due to the fact that the problem is solved in the current configuration, its solution is found in Breslavskii and Morachkovskii, 32 and Altenbach et al 39 It is obtained by using the method of two time scales (slow, which corresponds to the motion of solid points due to creep deformation, and fast through the period, in the mode of forced oscillations) and averaging over the period. The boundary – initial value problem (13)–(16) is solved for slow creep motion, but with the obtained special constitutive equations 2…”

Section: Solution Methodsmentioning

confidence: 99%

“…In elements made of materials with significant viscosity properties, with a sufficiently long loading process, large, finite strains occur, which significantly change the shape of element. 1,2…”

Section: Introductionmentioning

confidence: 99%

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Analysis of finite creep strains in aluminum plates at static and cyclic loading

Breslavsky,

Tatarinova,

Altenbach

2024

The Journal of Strain Analysis for Engineering Design

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The formulation of the problem and the basis of the method for solving two-dimensional creep problems for the case of finite strains are presented. The method is based on the Arbitrary Lagrange-Euler (ALE) approach in numerical modeling using FEM. The method is implemented in the form of additional units to the creep calculation software. The plane stress state is considered. The results of an experimental study of the creep of AlMg6 alloy specimens under static and cyclic loading are described. The obtained creep curves were used to verify the calculation method. It is shown that for a material with viscous creep properties, calculations using finite strains quite satisfactorily describe the tertiary, accelerated section of the creep curve. The creep of square plates in tension by static and cyclically varying traction was considered, data on their shape change and stress redistribution were obtained. A significant intensification of creep due to the addition of a cyclic component to the static loading was established.

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Section: Discussionmentioning

confidence: 81%

Section: Solution Methodsmentioning

confidence: 99%

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Analysis of finite creep strains in aluminum plates at static and cyclic loading

Breslavsky,

Tatarinova,

Altenbach

2024

The Journal of Strain Analysis for Engineering Design

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“…For fatigue, the effect of cycle asymmetry is taken into account. At subsequent levels, the regularities are generalized to non-isothermal loading, three-dimensional stress state, anisotropy, bimodularity (Abdul-Latif, 2021; Betten, 2008; Ferreira et al., 2022; Gorash, 2014; Guo et al., 2021; Kachanov, 1986; Krajcinovic, 1996; Lemaitre and Chaboche, 1990; Mattiello and Desmorat, 2021; Meyers and Chawla, 2009; Murakami, 2012; Naumenko and Altenbach, 2016; Rabotnov, 1969; Sattar et al., 2022), etc. At each of these levels, 1) the accumulation of experimental data and 2) the construction of mathematical models adequate to them takes place.…”

Section: Introductionmentioning

confidence: 99%

Theory and methods of constructing equations for the evolutionary damageability of materials

Fedorov

2023

International Journal of Damage Mechanics

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The theory and methods for constructing equations (functions) of evolutionary damage and rupture of materials in the Kachanov model (creep rupture and fatigue rupture) are presented. In general, it is proved that the factorized Kachanov model is identical to the Palmgren-Miner rule, which is often not confirmed experimentally. To construct damageability functions adequate to the experimental data, new mathematical objects (potential and normalized potential) are introduced. If the entire history of changes in the damage variable is known in experiments, then the use of the potential makes it possible to construct a damageability function of any complexity without integrating the evolutionary equation (explicit method). For cases where only rupture moments are recorded in experiments, a criterion for the adequacy of the normalized potential is formulated and an implicit method for its construction is developed. It is supplemented with a recursive algorithm that generates an unlimited number of such potentials. The implicit method is illustrated by examples, following which the reader can construct a damageability equation for his material without a thorough study of the theory.

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Angular Velocities, Twirls, Spins and Rotation Tensors in the Continuum Mechanics Revisited

Naumenko

Altenbach

2018

Advanced Structured Materials

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Constitutive Models

Cited by 3 publications

References 148 publications

Analysis of finite creep strains in aluminum plates at static and cyclic loading

Analysis of finite creep strains in aluminum plates at static and cyclic loading

Theory and methods of constructing equations for the evolutionary damageability of materials

Angular Velocities, Twirls, Spins and Rotation Tensors in the Continuum Mechanics Revisited

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