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Modeling of short-term creep of fibrous materials taking into account plastic deformation of composition components
- Authors: Yankovskii A.P.1
-
Affiliations:
- Khristianovich Institute of theoretical and applied mechanics the Siberian Branch of the Russian Academy of Science
- Issue: No 1 (2025)
- Pages: 3-32
- Section: Articles
- URL: https://journals.rcsi.science/1026-3519/article/view/288501
- DOI: https://doi.org/10.31857/S1026351925010012
- EDN: https://elibrary.ru/tapexf
- ID: 288501
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Abstract
A numerical and analytical model of the structural mechanics of multidirectionally reinforced metal-composites operating under short-term creep conditions has been developed. The materials of the components of the metal-composition are homogeneous and isotropic; their thermal sensitivity and thermoelastoplastic deformation are taken into account. Plastic deformation of the phases of the composition is described by the relations of the theory of flow with isotropic hardening. As damage parameters for the components of a metal-composition, their relative mechanical deformation accumulated during loading is used – the deformation criterion for failure during short-term creep of metals. To construct the specified mathematical model, due to its significant physical nonlinearity, an algorithm of variable time steps was used. Linearization of the governing equations for the components and the metal-composition as a whole at each time step is carried out using a method similar to the secant modulus method. Using the example of moment-free cylindrical shells, it is demonstrated that, due to the essentially physical nonlinearity of the modeled problem, varying the reinforcement structure in metal-composite structures operating under conditions of short-term creep has a significantly greater impact on their mechanical response than when operating under conditions of thermoelastic deformation. With an increase in the operating temperature of a metal-composite product, this influence increases sharply. With some, in particular rational, reinforcement structures, the materials of the metal-composition of the product can be deformed, exhibiting signs inherent in limited creep. With such reinforcement structures, the structure can operate effectively under conditions of long-term loading, and not only under short-term creep.
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About the authors
A. P. Yankovskii
Khristianovich Institute of theoretical and applied mechanics the Siberian Branch of the Russian Academy of Science
Author for correspondence.
Email: yankovsky_ap@itam.nsc.ru
Russian Federation, Novosibirsk
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Supplementary files
Supplementary Files
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Fig. 1. Mutual orientation of global and local (related to the k-th family of armature) coordinate systems.
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2. Cylindrical shells: fixed on the left and loaded on the right edges (a), equipped with bottoms (b).
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3. Multidirectional symmetrical reinforcement structure with four families of power elements.
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5.
Fig. 4. Dependences of the damage parameters of the materials of the phases of the cylindrical shell metal composition on the time t [h] in the case of winding two families of reinforcement, calculated at an operating temperature of Q * = 165 °C: a) – mechanical loading of the type (3.6), b) – mechanical loading of the type (3.8).
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6.
Fig. 5. Dependences of the damage parameters of the materials of the phases of the cylindrical shell metal composition on the time t [h] in the case of winding two families of reinforcement, calculated at an operating temperature of Q * = 235 °C: a) – mechanical loading of the type (3.6), b) – mechanical loading of the type (3.8).
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7.
Fig. 6. Dependences of the damage parameters of the materials of the phases of the metal composition of the cylindrical shell on the time t [h] in the case of winding four families of reinforcement, calculated at an operating temperature of Q * = 165 °C and mechanical loading of the type (3.6).
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8.
Fig. 7. Dependences of the limiting (critical) fracture time tc [h] of a cylindrical metal composite shell on the winding angle j1 [deg], calculated at an operating temperature of Q* = 165 °C and different types of its mechanical loading in cases of laying two (a) and four (b) families of reinforcement.
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9.
Fig. 8. Dependences of the limiting (critical) fracture time tc [h] of a cylindrical metal composite shell on the winding angle j1 [deg], calculated at an operating temperature of Q* = 235 °C and different types of its mechanical loading in cases of laying two (a) and four (b) families of reinforcement.
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10.
Fig. 9. Dependences of the damage parameters of the phases of the cylindrical shell composition on the winding angle j1 [deg], calculated at time t = 4 h at operating temperature Q * = 165 °C, different types of mechanical loading and laying of four families of reinforcing wires.
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