Steady-State Creep of a Long Membrane in a Rigid Matrix with a Piecewise Constant Dependence of the Rate of Change in Transverse Pressure on Time

• Published in: Journal of applied mechanics and technical physics Vol. 60; no. 1; pp. 87 - 96
• Main Authors: Lokoshchenko, A. M., Abrosimova, E. A.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 2019; Springer Nature B.V
• Subjects: Applications of Mathematics; Classical and Continuum Physics; Classical Mechanics; Contact pressure; Dependence; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mechanical Engineering; Physics; Physics and Astronomy; Slip; Steady state creep; Variable thickness; membrane; perfect slip; transverse pressure; unsteady loading; steady-state creep; no-slip; matrix
• ISSN: 0021-8944; 1573-8620
• DOI: 10.1134/S0021894419010127

The problem of steady-state creep of a rectangular membrane in a rigid matrix with a height-to-width ratio of not less than 0.5 is studied in the case of a piecewise constant dependence of the rate of change in transverse pressure on time. The creep of the membrane with a single change in transverse pressure over time is investigated. Two types of contact conditions between the membrane and matrix are considered: perfect slip and no-slip. Three stages of creep of the membrane are investigated. The analysis is carried out to the time at which the membrane is in almost complete contact with the walls of the matrix. Time dependences of the variable thickness of the membrane and the stress intensity in the membrane are obtained. It is shown that in this problem, the rule of summation of partial times is not valid.