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THE HYSTERESIS LOOP 1. A STATISTICAL THEORY
Author(s) -
POLÁK J.,
KLESNIL M.
Publication year - 1982
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.1982.tb01221.x
Subject(s) - hysteresis , flow stress , dislocation , materials science , probability density function , statistical theory , stress (linguistics) , loop (graph theory) , flow (mathematics) , generalization , mechanics , statistical physics , thermodynamics , condensed matter physics , mathematics , physics , mathematical analysis , metallurgy , composite material , microstructure , statistics , linguistics , philosophy , combinatorics
— Starting from a knowledge of inhomogeneous dislocation structures observed in cyclically strained metals, a model for cyclic straining is developed. A distribution of volumes with different internal critical flow stresses is assumed characterized by a probability density function. A generalization which includes a thermally activated component of the flow stress is derived assuming that the saturated microscopic effective stress, μ es , is equal in all volumes. The relations to obtain the probability density function from experimental data are derived. The theory yields the macroscopic internal stress, σ e and the macroscopic effective stress, σ e , along the hysteresis loop. Experimental observations on cyclically strained metals can be explained using this statistical theory.