IDENTIFYING MECHANICAL PROPERTIES OF VISCOELASTIC MATERIALS IN TIME DOMAIN USING THE FRACTIONAL ZENER MODEL
Keywords:VISCOELASTIC MATERIALS, FRACTIONAL ZENER CONSTITUTIVE MODEL, MITTAG-LEFFLER FUNCTION, TIME DOMAIN, TEMPERATURE INFLUENCE
AbstractTHE PRESENT PAPER AIMS AT PRESENTING A METHODOLOGY FOR CHARACTERIZING VISCOELASTIC MATERIALS IN TIME DOMAIN, TAKING INTO ACCOUNT THE FRACTIONAL ZENER CONSTITUTIVE MODEL AND THE INFLUENCE OF TEMPERATURE THROUGH WILLIAMS, LANDEL, AND FERRYÂS MODEL. TO THAT EFFECT, A SET OF POINTS OBTAINED EXPERIMENTALLY THROUGH UNIAXIAL TENSILE TESTS WITH DIFFERENT CONSTANT STRAIN RATES IS CONSIDERED. THE APPROACH IS BASED ON THE MINIMIZATION OF THE QUADRATIC DISTANCE BETWEEN THE EXPERIMENTAL STRESS-STRAIN CURVES AND THE CORRESPONDING ONES GIVEN BY THE THEORETICAL MODEL. IN ORDER TO AVOID THE LOCAL MINIMA IN THE PROCESS OF OPTIMIZATION, A HYBRID TECHNIQUE BASED ON GENETIC ALGORITHMS AND NON-LINEAR PROGRAMMING TECHNIQUES IS USED. THE METHODOLOGY IS APPLIED IN THE CHARACTERIZATION OF TWO DIFFERENT COMMERCIAL VISCOELASTIC MATERIALS. THE RESULTS INDICATE THAT THE PROPOSED METHODOLOGY IS EFFECTIVE IN IDENTIFYING THERMORHEOLOGICALLY SIMPLE VISCOELASTIC MATERIALS.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).