Complex materials, often encountered in recent engineering and material sciences applications, show no complete separations between solid and fluid phases. This aspect is reflected in the continuous relaxation time spectra recorded in cyclic load tests. As a consequence the material free energy cannot be defined in a unique manner yielding a significative lack of knowledge of the maximum recoverable work that can extracted from the material. The non-uniqueness of the free energy function is removed in the paper for power-laws relaxation/creep function by using a recently proposed mechanical analogue to fractional-order hereditariness.
Deseri, L., Di Paola, M., Zingales, M. (2014). Free energy and states of fractional-order hereditariness. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 51(18), 3156-3167 [10.1016/j.ijsolstr.2014.05.008].
Free energy and states of fractional-order hereditariness
DI PAOLA, Mario;ZINGALES, Massimiliano
2014-01-01
Abstract
Complex materials, often encountered in recent engineering and material sciences applications, show no complete separations between solid and fluid phases. This aspect is reflected in the continuous relaxation time spectra recorded in cyclic load tests. As a consequence the material free energy cannot be defined in a unique manner yielding a significative lack of knowledge of the maximum recoverable work that can extracted from the material. The non-uniqueness of the free energy function is removed in the paper for power-laws relaxation/creep function by using a recently proposed mechanical analogue to fractional-order hereditariness.File | Dimensione | Formato | |
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