A new formulation for the analysis of bonded elastic layers

Pınarbaşı, Seval
Elastic layers bonded to reinforcing sheets are widely used in many engineering applications, e.g., as elastic foundations to machinery, as seismic isolators to structures, etc. Because of its practical importance, the behavior of bonded elastic layers under some basic deformation modes (e.g., compression, bending and shear modes) has attracted the attention of many researchers. However, the analytical works available in literature involve, with the object of obtaining design formulas, many simplifying assumptions. In this dissertation, a new formulation is developed for the analysis of bonded elastic layers, which removes most of the assumptions used in the earlier formulations. Since the displacement boundary conditions are included in the formulation itself, there is no need to start the formulation with some assumptions on stress and/or displacement distributions or with some limitations on geometrical and/or material properties. For this reason, the solutions derived from this formulation are valid not only for “thin” layers of strictly/nearly incompressible materials but also for “thick” layers and/or compressible materials. The advanced solutions obtained within the framework of the new formulation are used to study the behavior of bonded elastic layers under basic deformation modes. The effects of three key parameters, shape factor, Poisson’s ratio and reinforcement flexibility, on effective layer moduli, displacement/stress distributions, and location/magnitude of maximum stresses are investigated. It is shown that the stress assumptions of the “pressure” method are inconsistent with the results obtained for thick layers and/or compressible materials and/or flexible reinforcements, and that the assumption “plane sections remain plane” is not valid, in general.


A new formulation for the analysis of elastic layers bonded to rigid surfaces
Pinarbasi, Seval; Akyüz, Uğurhan; Mengi, Yalcin (Elsevier BV, 2006-07-01)
Elastic layers bonded to rigid surfaces have widely been used in many engineering applications. It is commonly accepted that while the bonded surfaces slightly influence the shear behavior of the layer, they can cause drastic changes on its compressive and bending behavior. Most of the earlier studies on this subject have been based on assumed displacement fields with assumed stress distributions, which usually lead to "average" solutions. These assumptions have somehow hindered the comprehensive study of s...
Tuned vibration absorber design for a supported hollow cylindrical structure
Aksoy, Tuğrul; Özgen, Gökhan Osman; Department of Mechanical Engineering (2015)
Supported hollow structural elements have a usage area in various types of structures or machines. They exhibit an oscillatory behavior under various excitations since their modal frequencies are quite low. This behavior results in vibrations which reach huge amplitudes especially at the tip of the structures. This situation may be harmful for the structural integrity of the structures and may reduce the service life. Moreover, these vibrations can distort the performance of the machines’ which involve the ...
A simplified model for the analysis of machine foundations on a nonsaturated, elastic and linear soil layer
Aşık, Mehmet Zülfü (Elsevier BV, 2001-12)
A simplified semi-analytical method, which considers advantages of analytical and numerical approaches, is developed to compute the response of a rigid strip and circular machine foundations - subjected to a harmonic excitation - resting on a layer of soil deposit with a noncompliant rock or rock-like material at the base. The method is based on variational principles and minimization of energy using Hamilton's principle. Nondimensional equations are developed for both type of footing resting on a soil laye...
A computational model for partially plastic stress analysis of orthotropic variable thickness disks subjected to external pressure
Eraslan, Ahmet Nedim; Yedekçi, Buşra (2014-04-01)
A computational model is developed to predict the states of stressand deformation in partially plastic, orthotropic, variable thickness, nonisothermal, stationary annular disks under external pressure. Assuming a state ofplane stress and using basic equations of mechanics of a disk, Maxwell relation,Hill’s quadratic yield condition, and a Swift type nonlinear hardening law, asingle governing differential equation describing the elastic and partially plasticresponse of an orthotropic, variable thickness, non...
A 5-Parameter Isothermal Creep Model For Polymeric Liners
Güner, Doğukan; Öztürk, Hasan (null; 2019-07-12)
Polymeric materials are commonly used as load-carrying components in different structural applications due to the ease of manufacture, installation and long lifetime properties. In civil and mining engineering applications, fast-setting thin polymeric liners are in demand as areal support elements in underground openings. The stability of the openings is maintained by polymeric liners that might sustain the constant loads due to the presence of wedge blocks. Therefore, their time-dependent mechanical respo...
Citation Formats
S. Pınarbaşı, “A new formulation for the analysis of bonded elastic layers,” Ph.D. - Doctoral Program, Middle East Technical University, 2007.