Regina Saitova, Alexander Arutyunyan, Holm Altenbach
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引用次数: 0
摘要
自卡恰诺夫(Kachanov)和拉博特诺夫(Rabotnov)的基本著作问世以来,蠕变损伤力学已成为固体力学的一个成熟研究领域。研究的起点是材料在中等载荷和高温条件下的蠕变行为。蠕变行为的最后阶段伴随着损伤和脆化等其他微观结构变化。本文对文献进行了详细分析。重点介绍了用标量变量、矢量变量和张量变量表示损伤的不同类型。此外,还介绍了一些尚未广为人知的俄罗斯资料。调查具有代表性,但并不完整--由于资料来源众多,不可能提供完整的概述。考虑到需要在实验中确定的张量损伤变量参数数量庞大,本文的第二部分介绍了在长期使用条件下金属和合金高温蠕变和脆化的简单模型。该模型是对 R. Arutunyan 在上世纪 90 年代开发的模型的扩展。扩展包括考虑可压缩介质、引入质量守恒定律和真实应力,以及将损伤参数定义为材料密度的相对变化。对参数进行了实验估算,并给出了模拟和实验的比较。
High temperature creep and embrittlement in metals and alloys under conditions of the long-term usage
Since the fundamental works of Kachanov and Rabotnov, creep damage mechanics is an established field of research in solid mechanics. The starting point is the creep behavior of materials under moderate loads but elevated temperatures. The final stage of creep behavior is accompanied by damage and other microstructural changes such as embrittlement. In the present paper a detailed analysis of literature is given. A special focus is made on the different types of representation of damage by scalar, vectorial and tensorial variables. In addition, some Russian sources are presented which are not widely known yet. The survey is representative, but not complete - due to the large number of sources, it is not possible to provide a complete overview. Considering the huge number of parameters of tensorial damage variables which should be established experimentally in the second part of the paper a simple model for the high temperature creep and embrittlement in metals and alloys under conditions of the long-term usage is introduced. The model is an extension of R. Arutunyan’s model developed in the 90th of the last century. The extension includes the consideration of a compressible medium, the introduction of the mass conservation law and true stress, and definition of the damage parameter as a relative change in the density of the material. The parameters are experimentally estimated and the comparison of simulations and experiments is given.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.