author: a cemal eringen

Mathematics

... Introduction to Topology and Modern Analysis.” McGrawHill, New York. Singer, I. M., and Thorpe, J. A. (1967). “Lecture Notes on Elementary Topology and Geometry.” Scott, Glenview, Illinois. Sobolev, S. L. (1950). “Applications of ...

Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals

... mmm ) гí ( 4mmm ) г2 : T123T213 , T132 - T231 , Γι Γα ΓΙ T3 : Γ г3 I'11 14 : T312 - T321 T123T213 , T132 + T231 , T312 + T321 ― T113 T223 , T131 — T232 , T311 - T322 - I's Γέ гs : ( T111 , T222 ) , ( T122 , T211 ) , ( T133 , T233 ) ...

Microcontinuum Field Theories: II. Fluent Media

... solutions . A simple , but signifi- cant solution , is given by where Φ = A exp ( -k2t / J ) cos ( x / a ) cos ( Tу / α ) , k2 = 2 ( π / α ) 2 + K2 . ( 9.9.8 ) ( 9.9.9 ) This solution is similar to the Taylor solution for vorticity in ...

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