10 research outputs found
Influence of partial blistering on the global and the local stress and couple stress field for a monolayer graphene resting on substrate
Excitation of shear waves in a piezoceramic medium with partially electrodized tunnel openings strengthened by a rigid stringer
An antiplane mixed boundary electroelasticity of a stationary wave
process in an unbounded piezoceramic medium containing tunnel
heterogeneities of opening or thin rigid inclusion (stringer) type
is considered. The excitation of an electric field occurs at the
expense of differences of electric potentials applied to the
system of electrodes located on a free from stresses opening
surface. Using the correct integral representations of the
solutions, the boundary problem is reduced to the system of
singular integrodifferential equations of the second type with
resolvent kernels. The results of the parametric investigations
characterizing the behavior of the components of an electroelastic
field in the medium area and on the opening surface are given. A
system of singular integrodifferential equations is obtained for
investigation of a conjugated electroelastic field in a
piezomedium with a tunnel along the material axis opening a rigid
curvilinear inclusion, excited by a system of
active electrodes, located on the opening surface. The solvable
system of equations of the boundary problem is reduced to two
differential equations of Helmhöltz and Laplace with
respect to the amplitude of shear displacement and some auxiliary
functions. The obtained system is solved numerically by a special
scheme of the method of quadrature
Conditions of cracking of a stringer
In the limits of brittle failure of materials, we investigate the problem of possible cracking of an infinite stringer on the boundary of an elastic half-infinite plate. The plate is exposed to tensioning by uniformly distributed forces, and also to contact
stresses due to application of forces on the stringer. The accurate solution of a contact problem of interaction of an infinitely continuous stringer is constructed. With the help of
this solution, we formulate the condition of cracking of a stringer and the necessary restrictions for external loading, which provide the contacts of a broken stringer with a plate without propagation of a crack inside the stringer. The problem considered here is of interest for theory and practice. We firstly formulate the modified problem of E. Melan and with the help of Fourier integral transformation, we construct its acoustic solution and
then formulate the condition of cracking of an infinite stringer. After that, reveal the necessary restrictions on external loadings, which provide the contact of the failed stringer with a plate without propagation of the crack inside the plate