On intergranular mechanical interactions and the theory of deformation crystallography of metals

Abstract

The equilibrium of intergranular stress and strain can be realized simultaneously, whereas five independent slip systems of the Taylor principle and the criterion of minimal internal work are unnecessary. In fact, the Taylor principle applied in current theories is incorrect both in practice and theory, in which the activation mechanism of plastic deformation systems must violate the Schmid’s law and deviate from the elastic–plastic characteristics of deformed matrix. The intergranular reaction stress (RS) during deformation can be calculated according to Hooke’s law and elastic limit without additional subjective presupposition, therefore the RS theory is established intuitively. Under the combination of the RS (the intergranular elastic effect) and the external loading the slips penetrating grains are activated and produce deformation texture, but certain non-penetrating slips near grain boundaries will become active (the intergranular plastic effect) and produce some random texture when a RS reaches the yield strength of grains. The RS theory is simple, intuitive and reasonable, based on which the texture simulation can well reproduce the texture formation of various metals under different external loadings and under different crystallographic mechanisms.

Graphical abstract

Keywords

deformation crystallography / plastic strain / stress equilibrium / Taylor principle / reaction stress / texture simulation

References

[1] Taylor G I. Plastic strain in metals. Journal of the Institute of Metals, 1938, 62: 307–324

[2] Lebensohn R A, Tomé C N, Castaneda P P. Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations. Philosophical Magazine, 2007, 87(28): 4287–4322

[3] Van Houtte P, Li S Y, Seefeld M, . Deformation texture prediction: from the Taylor model to the advanced Lamel model. International Journal of Plasticity, 2005, 21(3): 589–624

[4] Crumbach M, Goerdeler M, Gottstein G. Modelling of recrystallization textures in aluminium alloys: I. Model set-up and integration. Acta Materialia, 2006, 54(12): 3275–3289

[5] Crumbach M, Goerdeler M, Gottstein G. Modelling of recrystallization textures in aluminium alloys: II. Model performance and experimental validation. Acta Materialia, 2006, 54(12): 3291–3306

[6] Mao W. On the Taylor principles for plastic deformation of polycrystalline metals. Frontiers of Materials Science, 2016, 10(4): 335–345

[7] Li Y, Ren H, Mao W. Influence of intergranular interaction on activation of slip systems and orientation evolution during rolling of pure Al. Journal of Inner Mongolia University of Science and Technology, 2019, 38(3): 238–242 (in Chinese)

[8] Hirsch J, Lűcke K. Mechanism of deformation and development of rolling texture in polycrystalline fcc metals. 2. Simulation and interpretation of experiments on the basis of Taylor-type theories. Acta Metallurgica, 1988, 36(11): 2883–2904

[9] Mao W. Intergranular mechanical equilibrium during the rolling deformation of polycrystalline metals based on Taylor principles. Materials Science and Engineering A, 2016, 672: 129–134

[10] Mao W. Influence of intergranular mechanical interactions on orientation stabilities during rolling of pure aluminum. Metals, 2019, 9(4): 477

[11] Mao W. The currently predominant Taylor principles should be disregarded in the study of plastic deformation of metals. Frontiers of Materials Science, 2018, 12(3): 322–326

[12] Sachs G. On the derivation of a condition of flowing. Zeitschrift des Vereines deutscher Ingenieure, 1928, 72: 734–736

[13] Li Y, Ren H, Mao W. Formation mechanism and structure characteristics of shear texture in cold rolled aluminum sheet. Journal of Inner Mongolia University of Science and Technology, 2019, 38(4): 331–336 (in Chinese)

[14] Ren H, Li Y, Mao W. Interactions of different crystallographic mechanisms during rolling deformation of steel sheets. Journal of Inner Mongolia University of Science and Technology, 2019, 38(4): 337–343 (in Chinese)

Acknowledgement

The author would like to acknowledge the financial support given by the National Natural Science Foundation of China (Grant No. 51571014).

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2021 Higher Education Press