000014223 001__ 14223
000014223 005__ 20161115100145.0
000014223 04107 $$aeng
000014223 046__ $$k2016-08-21
000014223 100__ $$aZhou, Shenjie
000014223 24500 $$aA strain gradient elasticity theory with independent length scale parameters

000014223 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014223 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014223 506__ $$arestricted
000014223 520__ $$2eng$$aA general isotropic strain gradient theory with independent material length-scale parameters (MLSPs) is presented that differs from the established models. The strain gradient theory is reformulated by introducing two different orthogonal decompositions of higherorder metrics to characterize strain gradient behaviors. Just by reformulating constitutive relations, no extra conditions needed, the number of independent MLSPs is theoretically proved to be only three for isotropic linear elastic materials. The new theory can be directly reduced to the established models when some of the components of strain gradients are ignored. The analytically solutions of several simple problems reveal the availability of the present theory with independent multi-MLSPs to describe size effects in microstructures.

000014223 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014223 653__ $$a

000014223 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014223 720__ $$aZhou, Shenjie
000014223 8560_ $$ffischerc@itam.cas.cz
000014223 8564_ $$s131142$$uhttps://invenio.itam.cas.cz/record/14223/files/PO.SM04-1.29.243.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2000, code PO.SM04-1.29.243
.
000014223 962__ $$r13812
000014223 980__ $$aPAPER