DEFORMACIONES----------------------------Deformaciones Unitarias:: Ex=du/dx Yxy=du/dy+dv/dx Ey=dv/dy Yxz=du/dz+dw/dx Ez=dw/dz Yyz=dv/dz+dw/dy-------------------------------Desplazamientos o corrimientos::u'=u+ (du/dx)*dx+(du/dy)*dy+(du/dz)*dzv'=v+ (dv/dx)*dx+(dv/dy)*dy+(dv/dz)*dzw'=w+ (dw/dx)*dx+(dw/dy)*dy+(dw/dz)*dz---------------------------------Matriz de Giro:: = |0 -(THETA) (THETA)y| H =|(THETA)Z 0 -(THETA)x| |-(THETA)y (THETA)X 0|(THETA)x=(1/2)*[(dw/dy)-(dv/dz)](THETA)y=(1/2)*[(du/dz)-(dw/dx)](THETA)z=(1/2)*[(dv/dx)-(du/dy)]--------------------------------Variacion del angulo en la deformacion _ = _ _ _ _ _(GAMMA)12=[2*(u1)t*D*(u2)-(En1+En2)cos(u1,u2)]/sen(u1,u2) ********* ****Deformaciones unitarias normales en ambas direcciones--------------------------------Componentes intrinsecas de la deformacion:: _ = _ _ = _ E=D*u En=ut*D*u E=SQRT(En^2+((GAMMA)n/2)^2)---------------------------------Incremento de volumen:: e=deltaV/Vi=Ex+Ey+Ez---------------------------------- Ecuaciones de compatibilidad:: -Deformaciones unitarias: (d2Ex)/(dy^2)+(d2Ey)/(dx^2)=(d2Yxy)/(dxdy) (d2Ez)/(dy^2)+(d2Ey)/(dz^2)=(d2Yzy)/(dzdy) (d2Ex)/(dz^2)+(d2Ez)/(dx^2)=(d2Yxz)/(dxdz) -Deformaciones angulares: d/dx[dYxz/dy+dYxy/dz-dYyz/dx]=2(d2Ex)/(dx^2) d/dy[dYyz/dx+dYxy/dz-dYxz/dy]=2(d2Ey)/(dy^2) d/dz[dYxz/dy+dYzy/dx-dYyx/dz]=2(d2Ez)/(dz^2)