Relation between external loading and its images in the Il'yushin space at finite strains
Tóm tắt
Experimental results on combined loading of tubular specimens at finite strains are not uniquely interpreted. Differential relations between deformation and strain-vector variations assigned to different bases of the Il'yushin space were established. The relationships obtained are needed to develop experimental programs for studying properties of materials at large strains. The differences appearing upon realization of a preset broken deformation trajectory were analyzed as an example. External loading patterns for a given trajectory in fixed, rotational, and polar bases were set.
Tài liệu tham khảo
A. A. Il'yushin,Plasticity. Fundamentals of a General Mathematical Theory [in Russian], USSR Academy of Sciences Publishers, Moscow (1963).
V. G. Zubchaninov,Fundamentals of Elasticity and Plasticity Theories [in Russian], Vysshaya Shkola, Moscow (1990).
A. A. Markin and L. A. Tolokonnikov, “Measures of finite deformation,”Izv. Sev. Kavk. Nauch. Tsentra Vyssh. Shk., Estestv. Nauki, No. 2, 49–53 (1987).
A. A. Markin and L. A. Tolokonnikov, “Measures and constitutive equations of finite elastoplastic deformation,” in:Applied Problems of Strength and Plasticity [in Russian], Gorky University, Gorky (1987), pp. 32–37.
V. I. Levitas “Theory of large elastoplastic strains at high pressure,”Probl. Prochn., No. 8, 86–94 (1986).
A. A. Markin, V. F. Astapov, and G. A. Matveev, “Possibilities of experimental solution of the problem of finite-deformation image construction”, Deposited at VINITI 30. 05. 89, No. 4098-V89 [in Russian], Tula (1989).
O. D. Sherby and C. M. Young, “Some factors influencing the strain rate—temperature dependence of the flow stress in polycrystalline solids,” in:Rate Processes in Plastic, Deformation of Materials (G. C. M. Li and A. K. Muknerjee, eds.), ASM (1975), pp. 497–541.