luille in the current ressible material (in the reference state a cube: a Cartes

Question

luille in the current ressible material (in the reference state a cube: a Cartesian xyz-coordinate system as given in the e of a load in the z-direction the height of the element uclormations element of an x e x e), is placed in x figure beld is reduced to 22/3. In the x-direction the displ element can expand freely in the y-direction heef to be homogeneous. material 2 An low. Becaus upressed. The y-direction. The deformation is assumed material behaviour is described by a Neo-Hookean relation, accord- The ing to: with the stress matrix, p the hydrostatic pressure (to be determined unit matrix, Gtihe shear m matrix. ).l the G tse shear modulus and B the left Cauchy Green deformation 2e13 32/2 Determine the compressive force Fv in z-direction that is necessary to realize this deformation.

Explanation / Answer

The net force experienced at the top in the z direction will be only the normal force. The net stress matrix can be treated for 3*3 matrix. Where A is the stress. Azz should be responcible for deformation in normal direction of z.

Fv= ((-PI)+GB^d)*1.5*l*l

Axx Axy Axz Ayx Ayy Ayz Azx Azy Azz

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