Hysteresis and incremental collapse: The iterative evolution of a complex system

Erber, T.; Guralnick, Sidney A.

doi:10.1016/0003-4916(88)90115-7

Cited by 11 publications

(2 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The net result is that the aggregate of successive plastic deformations endows the frame with a memory and the capacity to evolve. In particular, if repeated loading cycles result in stress redistributions that fall below the threshold for plastic yield in all structural elements, the framework will eventually 'shake down' to a perfectly elastic response [20]. These model studies show that the demarcation between reversibility and irreversibility depends not only on the magnitude of the peak stresses that act on the system, but that it is also influenced by the entire history of the loading patterns.…”

Section: Inelasticity and Training Effectsmentioning

confidence: 85%

Hooke's law and fatigue limits in micromechanics

Erber¹

2001

Eur. J. Phys.

Self Cite

View full text Add to dashboard Cite

Scanning tunnelling microscopes can be used to detect transitions between reversible and irreversible deformations of materials. Since the occurrence of stress-strain hysteresis is a necessary condition for the generation of material defects, and the cumulation of defects is, in turn, the underlying cause of fatigue failure, the observation of non-hysteretic reversible deformations extending over many atomic lengths implies that mechanical nanoscale devices are potentially capable of having service lives of extremely long duration.

show abstract

Section: Inelasticity and Training Effectsmentioning

confidence: 85%

Hooke's law and fatigue limits in micromechanics

Erber¹

2001

Eur. J. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…All of these effects are consistent with a progressive accommodation of the materials' internal stress distribution to the cyclic loads. Model simulations with elastic-plastic frameworks show that below a critical load level-the 'shakedown load'-the cyclic stress patterns shift so that eventually the entire system responds elastically; whereas for larger loads this compensation remains incomplete, and plastic deformations occur during every cycle [44,51,52]. The corresponding critical load in fatigue is the endurance or fatigue limit σ f l .…”

Section: Piezomagnetism As An Indicator Of Fatiguementioning

confidence: 99%

Piezomagnetism and fatigue

Erber

Guralnick

Desai

et al. 1997

J. Phys. D: Appl. Phys.

Self Cite

View full text Add to dashboard Cite

Piezomagnetism refers to a change in the intrinsic magnetization of a material subjected to mechanical actions such as tension or compression. In a ferromagnet such as a mild steel these effects are easily measured: typically a stress of or 140 MPa induces a magnetic moment of the order of emu or , resulting in flux densities in the range 10 mG or T in the vicinity of the specimen. Since piezomagnetic effects are due to interactions between the mechanical and magnetic mesostructure of materials microplastic processes that alter the arrangement of the ferromagnetic domain structure affect the intensity of the associated magnetic fields. The progressive degradation of such materials under cyclic loading can therefore be tracked by following the evolution of the piezomagnetic field. Specifically, if the measurements are displayed as loci in a three-dimensional stress - strain - field (B) space, the approach to fatigue failure is paralleled by a series of conspicuous geometric transformations of these curves. Complementary information also appears in continuous-time records of B(t): these magnetograms clearly show the abrupt incidence of `infarcts' (microcracks) and the cumulation of phase shifts as the material degrades.

show abstract