New Mechanical Effects Detected by Alexander N. Guz and his Collaborators for the First Time#
1. Field: Stress concentration near holes.
Effect: Non-monotonic increasing of the stress concentration under approach of the holes as applied to static problems of shells and dynamic problems of plates.
2. Field: Elastic waves diffraction.
Effect 1: The existence of "conditional resonances" in multi-connected elastic bodies.
Effect 2: The existence of the "Wood type" resonances in elastic bodies with periodical structures.
3. Field: Three-dimensional theory of deformable bodies stability.
Effect 1: Asymptotical accuracy of the two-dimensional applied theory of shells and plates stability based on the Kirchhoff-Love hypothesis.
Effect 2: Stability or instability of the elastic simply-connected isotropic body with elastic potential of arbitrary form under omni-directional compression in case different boundary conditions on separate parts of surfaces.
4. Field: Elastic waves in bodies with initial stresses.
Effect 1: The regularities of wave propagation may be described only within the framework of the elastic potential depending on the first, second and third invariants.
Effect 2: The values of velocity of wave propagation in cases of surface waves (along planar and curvilinear surfaces) and waves in the layer and in the cylinder are increasing at tension and are decreasing at compression.
Effect 3: The existence of some frequencies for each layer and each cylinder, when the values of velocity of wave propagation don’t depend on values of initial stresses.
5. Field: Mechanics of composite materials.
Effect 1: In continual approximation, the composite materials with initial stresses can not be described within the framework of classical linear elasticity.
Effect 2: In case of the unidirectional fibrous composites, the form of stability loss along a helical path is not realized.
6. Field: Contact problems for elastic bodies with initial stresses.
Effect: The existence of the "resonance type features" when initial stresses are approaching to the values corresponding to the surface instability.
7. Field: The problems of hydroelasticity for some shells in liquid.
Effect: Non-monotonic change of dynamic processes under the approach of the shells.
8. Field: Non-destructive ultrasonic methods of stresses determination.
Effect: Basic regularities in case of two-axial stresses.
9. Field: Mechanics of brittle fracture of materials with initial stresses.
Effect 1: In case of the planar and anti-planar static problems for bodies with elastic potentials of arbitrary form and in cases of the spatial static problems and the planar dynamic problems for bodies with elastic potential of particular form, the order of singularity in the tip of cracks coincides with results of classical linear mechanics of brittle fracture.
Effect 2: The existence of the "resonance type features" when initial stresses are approaching to the value corresponding to the surface instability.
Effect 3: For initial stresses along cracks the value of velocity of crack propagation is increasing in case of the extending initial stresses and is decreasing in case of the compressing initial stresses.
10. Field: Mechanics of failure in compression along parallel cracks.
Effect: In this case the beginning of failure coincides with appearing the surface instability of this material.
11. Field: Mechanics of failure in compression along interface cracks in composite materials.
Effect: In this case the beginning of failure coincides with appearing the surface instability of the first or the second materials (components).
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