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Contact Dynamics - Method of Differential Specific Forces (Hardcover)
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Contact Dynamics - Method of Differential Specific Forces (Hardcover)
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This volume describes the application of the method of the
differential specific forces (MDSF). By using this new method, the
solutions to the problems of a dissipative viscoelastic and
elastic-plastic contacts between curvilinear surfaces of two solid
bodies can be found. The novelty is that the forces of viscosity
and the forces of elasticity can be found by an integration of the
differential specific forces acting inside an elementary volume of
the contact zone. This volume shows that this method allows finding
the viscoelastic forces for any theoretical or experimental
dependencies between the distance of mutual approach of two
curvilinear surfaces and the radiuses of the contact area. Also,
the derivation of the integral equations of the viscoelastic forces
has been given and the equations for the contact pressure have been
obtained. The viscoelastic and elastic-plastic contacts at impact
between two spherical bodies have been examined. The equations for
work and energy in the phases of compression and restitution and at
the rolling shear have been obtained. Approximate solutions for the
differential equations of movement (displacement) by using the
method of equivalent work have been calculated. This new method of
differential specific viscoelastic forces allows us to find the
equations for all viscoelastic forces. It is principally different
from other methods that use Hertz's theory, the classical theory of
elasticity and the tensor algebra. This method will be useful in
research of contact dynamics of any shape of contacting surfaces.
It also can be used for determination of the dynamic mechanical
properties of materials and in the design of wear-resistant
elements and coverings for components of machines and equipment
that are in harsh conditions where they are subjected to the action
of flow or jet abrasive particles. This volume will be useful for
professional designers of machines and mechanisms as well as for
the design and development of new advanced materials, such as
wear-resistant elastic coatings and elements for pneumatic and
hydraulic systems, stop valves, fans, centrifugal pumps, injectors,
valves, gate valves, and in other installations.
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