A physical basis for fractional derivatives in constitutive equations Export

@article{citeulike:1157588, abstract = {In good coincidence with experimental data the damping properties of viscoelastic media can be described by fractional derivatives. We present a model, which under certain assumptions on the interactions between macromolecules leads to a macroscopic stress strain relation with fractional derivatives in the damping term. For this purpose we use the Kubo formula of nonequilibrium thermodynamics.}, author = {Pfitzenreiter, Tim W.}, citeulike-article-id = {1157588}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/zamm.200310112}, day = {24}, doi = {10.1002/zamm.200310112}, journal = {Zeitschrift f\"{u}r Angewandte Mathematik und Mechanik}, keywords = {derivatives, fractional}, month = {February}, number = {4}, pages = {284--287}, posted-at = {2007-03-13 07:52:11}, priority = {1}, title = {A physical basis for fractional derivatives in constitutive equations}, url = {http://dx.doi.org/10.1002/zamm.200310112}, volume = {84}, year = {2004} }

TY - JOUR ID - citeulike:1157588 L3 - citeulike-article-id:1157588 N2 - In good coincidence with experimental data the damping properties of viscoelastic media can be described by fractional derivatives. We present a model, which under certain assumptions on the interactions between macromolecules leads to a macroscopic stress strain relation with fractional derivatives in the damping term. For this purpose we use the Kubo formula of nonequilibrium thermodynamics. IS - 4 JF - Zeitschrift für Angewandte Mathematik und Mechanik EP - 287 TI - A physical basis for fractional derivatives in constitutive equations VL - 84 SP - 284 KW - derivatives KW - fractional AU - Pfitzenreiter, Tim PY - 2004/02/24/ UR - http://dx.doi.org/10.1002/zamm.200310112 ER -