The theoretical strength of fcc crystals under multiaxial loading |
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| Authors: | Miroslav Černý Jaroslav Pokluda |
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| Affiliation: | 1. School of Materials Science and Engineering, Tianjin University, Tianjin 300072, China;2. Tianjin Key Laboratory of Advanced Joining Technology, Tianjin University, Tianjin 300072, China;1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;2. Institute for Metals Superplasticity Problems, Russian Academy of Sciences, 39 Khalturina St., Ufa 450001, Russia;1. State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110819, China;2. Laboratory for Excellence in Advanced Steel Research, Center for Structural and Functional Materials, University of Louisiana at Lafayette, P.O. Box 44130, LA 70503, USA |
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| Abstract: | Atomistic modeling of a special triaxial loading of six perfect fcc crystals is performed by means of pseudopotential density functional method. The triaxial stress state is simulated as a superposition of axial pressure and transverse biaxial stresses. The transverse stresses are treated as adjustable parameters and their influence on the theoretical compressive strength is evaluated for the 〈1 0 0〉 and the 〈1 1 1〉 crystallographic orientations of the loading axis. The obtained results revealed that the compressive strengths are increasing linear functions of the transverse compressive stresses. On the other hand, the tensile transverse stresses lower the compressive strength. This implies that the compressive strengths of individual crystals approach a zero value when some critical (characteristic) levels of tensile biaxial stresses are reached. These stresses are then considered to be the theoretical tensile biaxial strengths. |
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