%0 Journal Article %1 rossle2011corner %A Rössle, Andreas %A Sändig, Anna-Margarete %D 2011 %I Springer Netherlands %J Journal of Elasticity %K ians imported vorlaeufig %N 2 %P 113--135 %R 10.1007/s10659-010-9258-5 %T Corner Singularities and Regularity Results for the Reissner/Mindlin Plate Model %U http://dx.doi.org/10.1007/s10659-010-9258-5 %V 103 %X The theory for elliptic boundary value problems for general elliptic systems is used in order to investigate systematically corner singularities and regularity for weak solutions to a broad class of boundary value problems for the Reissner/Mindlin plate model in polygonal domains. The regularity results for the deflection of the midplane and for the rotation of fibers normal to the midplane are formulated in Sobolev spaces H s , where s >1 is a real number. The number s depends on the geometry, the material parameters and the boundary conditions in general and is related to a decomposition of the fields in a singular and a regular part. The leading singular terms are calculated for a wide class of boundary conditions (36 combinations). The results are critically compared with those known from a stress potential approach.

@article{rossle2011corner, abstract = {The theory for elliptic boundary value problems for general elliptic systems is used in order to investigate systematically corner singularities and regularity for weak solutions to a broad class of boundary value problems for the Reissner/Mindlin plate model in polygonal domains. The regularity results for the deflection of the midplane and for the rotation of fibers normal to the midplane are formulated in Sobolev spaces H s , where s \>1 is a real number. The number s depends on the geometry, the material parameters and the boundary conditions in general and is related to a decomposition of the fields in a singular and a regular part. The leading singular terms are calculated for a wide class of boundary conditions (36 combinations). The results are critically compared with those known from a stress potential approach.}, added-at = {2019-06-17T14:25:24.000+0200}, affiliation = {IANS, Universit{\"a}t Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany}, author = {R{\"o}ssle, Andreas and S{\"a}ndig, Anna-Margarete}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/29e8bec2da5aea489709f2df31c04ff8d/britsteiner}, doi = {10.1007/s10659-010-9258-5}, interhash = {fa70316d5f1f6672850e484b7d08483a}, intrahash = {9e8bec2da5aea489709f2df31c04ff8d}, issn = {0374-3535}, journal = {Journal of Elasticity}, keyword = {Physik und Astronomie}, keywords = {ians imported vorlaeufig}, note = {10.1007/s10659-010-9258-5}, number = 2, pages = {113--135}, publisher = {Springer Netherlands}, timestamp = {2019-06-17T12:34:15.000+0200}, title = {Corner Singularities and Regularity Results for the Reissner/Mindlin Plate Model}, url = {http://dx.doi.org/10.1007/s10659-010-9258-5}, volume = 103, year = 2011 }