Primary and recency effects based on loading path in classical plasticity
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Primary and recency effects based on loading path in classical plasticity GAO Yue(高岳)1, SHAO Fei(邵飞)1, FAN Peng-xian(范鹏贤)2, XU Qian(徐倩)1, GU Juan(顾娟)2, WANG Shang-long(王尚龙)3 1. Field Engineering College, Army Engineering University of PLA, Nanjing 210007, China; 2. Defense Engineering College, Army Engineering University of PLA, Nanjing 210007, China; 3. Engineering Design Institute of the Army Research Institute, Nanjing 210018, China © Central South University Press and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract: We have established an elastoplastic analysis model to explore the effect of loading path in an incompressible thin-walled tube under the combined action of axial force and torque based on Mises yield condition and isotropic linear hardening assumption. Further, four stress areas (σx, τx) are divided according to the characteristics of the final stress, and the plastic stress−strain relationship of twelve stress paths in different stress areas is derived. The “primary effect” of the stress path on plastic strain is demonstrated, namely, the plastic strain caused by the pre-loaded stress in path A (tensile stress is initially applied, followed by shear stress) is always greater than that caused by the post-loaded stress in path C (shear stress is initially applied, followed by tensile stress) irrespective of the value of final stress. The “recency effect” of the strain path on the stress is also established, which indicates that the stress caused by the post-loaded strain in path A is always greater than that caused by the pre-loaded strain in path C irrespective of the value of final strain. From the perspective of deformation, the “primary effect” of the stress path on the plastic strain and the “recency effect” of the strain path on the stress are unified. These effects are succinct and universal, and they provide useful insights on the plastic stress−strain relationship under different loading paths. Furthermore, they can serve as a useful reference for optimizing the processing technologies and construction procedures. Key words: isotropic linear hardening; stress path; strain path; primary effect; recency effect Cite this article as: GAO Yue, SHAO Fei, FAN Peng-xian, XU Qian, GU Juan, WANG Shang-long. Primary and recency effects based on loading path in classical plasticity [J]. Journal of Central South University, 2020, 27(9): 2592−2605. DOI: https://doi.org/10.1007/s11771-020-4484-x.
1 Introduction The primary and recency effects are crucial theories in psychology and pedagogy. The primary effect implies that in social cognition, the first information or stimulus provided to an individual leaves him/her with the most striking impression, which is also called the first impression effect. In contrast, the recency effect refers to the
psychological effect of recent stimuli that promotes the formation of impressions, namely, the newly obtained information has a greater impact on individuals than the previously obtained information. Presently, investigations on primary and rece
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