We present experimental results on the formation of different sheet st
ructures obtained in a colloidal suspension of silica particles in the
presence of an electric field and of an oscillating shear flow. The c
haracteristics of the structure depend on the amplitude of the imposed
strain; at low strain the sheets are perpendicular to the velocity li
nes, whereas they become perpendicular to the vorticity axis at high s
train. The electrostatic forces between the particles, which are induc
ed by the electric field, give an elastic modulus to the suspension. W
ith an appropriated experimental device, we have measured for a given
structure the elastic component of the shear modulus with a strain eit
her parallel or perpendicular to the direction of the sheets. The stor
age modulus for a strain in the plane of the sheets is found to be sev
eral times larger than for a strain in the perpendicular direction. A
possible explanation of this strong anisotropy in elastic shear modulu
s is given in terms of the microscopic structure inside the sheets.