2018
DOI: 10.1016/j.mechmat.2018.03.002
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A multi-branch thermoviscoelastic model based on fractional derivatives for free recovery behaviors of shape memory polymers

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Cited by 34 publications
(32 citation statements)
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“…All numerical values are provided to the readers, hence anyone can use these models which are in accordance with the measurements performed on the three materials of interest. Among others, these models may be used to describe the shape memory effect in the time domain [21] or to describe the mechanical properties of composite structures embedding Shape Memory Polymers for vibration control in the frequency domain [6]. Users should be aware that the identified models should only be used in the reduced frequency range which has been considered for the fitting: out of this range, they could no longer be representative of the physical behavior.…”
Section: Resultsmentioning
confidence: 99%
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“…All numerical values are provided to the readers, hence anyone can use these models which are in accordance with the measurements performed on the three materials of interest. Among others, these models may be used to describe the shape memory effect in the time domain [21] or to describe the mechanical properties of composite structures embedding Shape Memory Polymers for vibration control in the frequency domain [6]. Users should be aware that the identified models should only be used in the reduced frequency range which has been considered for the fitting: out of this range, they could no longer be representative of the physical behavior.…”
Section: Resultsmentioning
confidence: 99%
“…For applications in which only static phenomena are involved, the intrinsic losses may be neglected but as soon as dynamical phenomena contribute to the mechanical response, viscoelastic effects must be considered. This has been highlighted for years now, and numerous works can be found in the literature that present models of the shape memory effect based on rate-dependent viscoelastic models [11,34,17,56,21,55,32]. Recently, these materials have been identified as able to play a major role in damping-related applications, thanks to the high damping capacities associated to the glass transition [13].…”
Section: Introductionmentioning
confidence: 99%
“…Relaxation time and time -temperature shift factor rubbery branches (m + 1 [43,44] Relaxation modulus…”
Section: Deformations and Stresses Fmentioning
confidence: 99%
“…Sun et al developed a model with a significantly reduced number of parameters compared to the multi-branch models containing integer-order derivatives based on the multi-branch model of fractional derivatives. In addition, the model can also be used to predict the free recovery behavior of triple-and multi-SMEs and foams [43]. Zeng et al proposed a rate-dependent yield factor to modify the Eying model and combined it with the multi-branch fractional derivative thermoelastic model to describe the temperature-dependent, strain-rate-dependent, yield and post-yield behavior of SMPs [44].…”
Section: Deformations and Stresses Fmentioning
confidence: 99%
“…This is to say that the highest transition temperature ( max T , defined as the finish temperature of phase transition) of the first soft segment should be lower than the initial transition temperature ( min T , defined as the starting temperature of phase transition) of the second soft segment. Several important parameters such as transition temperature, relaxation time, heating rate and thermomechanical modulus play critical roles in determining the multi-SME [17][18][19][20][21]. In terms of thermodynamics, multi-shape memory behavior is originated from the segmental relaxation of multiple segments, which then respond in a time and temperature dependent manner [22,23].…”
Section: Introductionmentioning
confidence: 99%