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duragn bismuth ferrite (0.5-1.0 mm thick) plates with 0.2-0.5 mm thick fiberglass reinforcement on each face. copper braze is electroplated in the top and bottom faces. the biaxial flexure of the entire structure is less than 5 g/mm2.
the measured values for the finite element modeling include a large number of computational nodes (i.e. at least 10,000). the maximum displacement along the span, prior to fracture, is about 10 mm. the deflection of the beam is about 3.3 mm at any point and is typically much larger at the beam’s ends. this significant deflection of the beam leads to a weak anchorage at the beam ends, especially at the mid point of a span, and a very low strain energy storage in that region. the finite element analysis includes the complete structure and all details of the surface fasteners are taken into account. in the pre-cracked state, the load is primarily uniaxial in the mid-span region. the maximum von mises stress, in the mid-span region of the beam, is approximately 230 mpa. the fracture occurs by a hoekstra-type crack in the mid-span region of the beam. most of the deformation is absorbed by the beam ends, with small deformations due to the breaking of the bond between the beam and the surface fastener. the crack begins with a very short length of crack in the beam mid-span area. because of the very large shear deformation of the beam, the crack propagates very rapidly from left to right. a comparison between the present results and those from the earlier work indicates that the difference in results is due to the fact that the present problem is an elastic, and not a plastic, cracking problem. this leads to a much smaller stress intensity factor for crack growth in the present problem. the nominal stress intensity factor in the present problem is about 0.06 mpa/mm. although the computed deformation in the beam is only small, its contribution to fracture should not be neglected since it results in a relatively large stress intensity factor, as shown in the previous work. 3d9ccd7d82