Boundary Conditions on Obligue Surfaces: On general non-coordinate surfaces traction vector willnot reduce to individual stress components and generalform of traction vector must then be usedItxa(a.Xcosαssinα6
• On general non-coordinate surfaces traction vector will not reduce to individual stress components and general form of traction vector must then be used. c o s s i n x x x y y x x y x y y y n n T S n n T S n n x S y n Boundary Conditions on Oblique Surfaces x x x y y x z z x x y x y y y z z y x z x y z y z z z n n n T n n n T n n n T n n n x T n y T n z T n 6
Example of Boundary ConditionsExample (1)TractionConditionFixedConditionT)=0x= S,T,= txy= 0u=V=0I*.aTractionFreeConditionT(= txy =0, T()= 0y= 0(CoordinateSurfaceBoundaries)1
Example of Boundary Conditions Example (1) 7
Example of Boundary ConditionsExample (2)Traction ConditionT(n) = -txy =0, T,(n)XT(m)二=xnx+txyny=0T(n = trynx +yny=0yFixedConditionu=V=oTractionFreeCondition(Non-Coordinate SurfaceBoundary)8
Example of Boundary Conditions Example (2) 8
Line of Symmetry Boundary ConditionsRigid-SmoothSymmetry LineBoundaryConditionu=0T = 0VLineofsymmetryboundarycondition9
Line of Symmetry Boundary Conditions 9
Interface Boundary ConditionsCompositeCylinderorDiskLayeredCompositePlateEmbeddedFiberorRodMaterial (1):InterfaceConditions:anPerfectlyBonded,SlipInterface,Etc9)Material (2):10
Embedded Fiber or Rod Layered Composite Plate Composite Cylinder or Disk Material (1): ( 1 ) ( 1 ) , ij i u ( 2 ) ( 2 ) , ij i Material (2): u Interface Conditions: Perfectly Bonded, Slip Interface, Etc. n s Interface Boundary Conditions 10