Recent content by popbatman

  1. popbatman

    Solve Plane Elasticity w/ Airy Stress Function

    I mean nice solution in polynomial form. What I cannot really realize is why simple uniaxial tension admits such a solution, while the application of uniform shear on two opposite sides does not!
  2. popbatman

    Solve Plane Elasticity w/ Airy Stress Function

    Hello to everyone, I have a problem with the solution of plane elasticity problems with the method of Airy stress functions. For instance I can solve a problem of uniaxial or biaxial uniform tension with a 2nd order polynomial, but if I add shear on only two opposite sides the problem seems to...
  3. popbatman

    Left and right invariant metric on SU(2)

    I'm sorry, obvyously in the matrix is x everywhere!
  4. popbatman

    Left and right invariant metric on SU(2)

    I'm using the parametrization: \begin{array}{cc} x_{0} - ix_{3} & x_{1}+ix_{2} \\ -x_{1}+iy_{2} & y_{0}+iy_{3} \end{array} Now I know that left invariant vector fields are obtained starting from vector tanget to the identity of the group (pauli matrices). by duality i can find also a...
  5. popbatman

    Left and right invariant metric on SU(2)

    Homework Statement I nedd some help to write a left-invariant and right invariant metric on SU(2) Homework Equations The Attempt at a Solution
  6. popbatman

    Electric potential generated by an hemispherical charge distribution

    I need the electric potential generate by an hemuspherical constant charge density along the axis normal to the plane surface of the distribution an passing for the center of the hemisphere. In practice i have to solve the integral: ∫1/|x-x'| d^3x' over the volume occupied by the distribution...
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