Sliding of a spherical indenter on a viscoelastic foundation with the forces of molecular attraction taken into account

2014 ◽  
Vol 55 (1) ◽  
pp. 81-88 ◽  
Author(s):  
I. G. Goryacheva ◽  
M. M. Gubenko ◽  
Yu. Yu. Makhovskaya
Keyword(s):  
Spherical Indenter ◽  
Viscoelastic Foundation ◽  
Molecular Attraction

Molecular attraction of condensed bodies

2015 ◽  
Vol 185 (9) ◽  
pp. 981-1001 ◽  
Author(s):  
B.V. Deryagin ◽  
I.I. Abrikosova ◽  
E.M. Lifshitz
Keyword(s):  
Molecular Attraction

scholarly journals GENERALIZED SOLUTIONS FOR THE EULER–BERNOULLI MODEL WITH ZENER VISCOELASTIC FOUNDATIONS AND DISTRIBUTIONAL FORCES

2013 ◽  
Vol 11 (02) ◽  
pp. 1350017 ◽  
Author(s):  
GÜNTHER HÖRMANN ◽  
SANJA KONJIK ◽  
LJUBICA OPARNICA
Keyword(s):  
Differential Equation ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Variational Problems ◽  
Generalized Solutions ◽  
Beam Model ◽  
Order Partial Differential Equation ◽  
Viscoelastic Foundation ◽  
Regularization Techniques ◽  
Initial Boundary Value

We study the initial-boundary value problem for an Euler–Bernoulli beam model with discontinuous bending stiffness laying on a viscoelastic foundation and subjected to an axial force and an external load both of Dirac-type. The corresponding model equation is a fourth-order partial differential equation and involves discontinuous and distributional coefficients as well as a distributional right-hand side. Moreover the viscoelastic foundation is of Zener-type and described by a fractional differential equation with respect to time. We show how functional analytic methods for abstract variational problems can be applied in combination with regularization techniques to prove existence and uniqueness of generalized solutions.

Bending of Plates on a Viscoelastic Foundation

1961 ◽  
Vol 126 (1) ◽  
pp. 992-1005
Author(s):  
K. S. Pister ◽  
M. L. Williams
Keyword(s):  
Viscoelastic Foundation
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