caa a22 4500 397572522 CHVBK 20180308164845.0 cr unu---uuuuu 161202e199608 xx s 000 0 eng 10.1093/qjmam/49.3.405 doi (NATIONALLICENCE)oxford-10.1093/qjmam/49.3.405 TING T. C. T. Department of Civil and Materials Engineering, University of Illinois at Chicago, 842 West Taylor Street (M/C246), Chicago, Illinois 60607-7023, USA EXISTENCE OF AN EXTRAORDINARY DEGENERATE MATRIX N FOR ANISOTROPIC ELASTIC MATERIALS [Elektronische Daten] [T. C. T. TING] The 6×6 real matrix N for two-dimensional deformations of an anisotropic elastic body is extraordinary degenerate when it has three identical complex eigenvalues but only one independent eigenvector. It has been an open question if such an N exists. Isotropic material is the most degenerate material, in the physical sense, of all anisotropic materials. It has three identical complex eigenvalues but has two eigenvectors. This has led most researchers to believe that an extraordinary degenerate material does not exist. We show that it exists. Hence isotropic material is not the most degenerate material in the mathematical sense. In fact the set of extraordinary degenerate materials is probably larger than the set of egenerate materials of which isotropic material is a special case. We also show that N can be extraordinary degenerate for a steady-state motion such as a moving-line discolation. The question whether N can be extraordinary degenerate for surface waves will be addressed in a separate paper. © Oxford University Press Article nationallicence The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/3(1996-08), 405-417 0033-5614 49:3<405 1996 49 qjmamj https://doi.org/10.1093/qjmam/49.3.405 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/49.3.405 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- TING T. C. T. Department of Civil and Materials Engineering, University of Illinois at Chicago, 842 West Taylor Street (M/C246), Chicago, Illinois 60607-7023, USA NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/3(1996-08), 405-417 0033-5614 49:3<405 1996 49 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford