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- W4318832089 abstract "In this research, a very interesting and little-discussed contact of a thin shell with a rigid substrate is studied. The standard problem considered is that of a cylindrical shell, which is subjected to a uniform line load on top, resting on a smooth planar rigid substrate. The material is assumed to be linearly elastic. To solve the contact problem, the available shell theories have been used, the governing equilibrium equations are solved separately for contact and free regions and then the continuity conditions of displacements and stresses at the intersection of the two regions have been used. Out of all the shell theories available, the linear Cosserat shell theory, shear deformation theory, and the Flügge-Lur’e-Byrne shell theory have been selected. The results are obtained for the radial and tangential displacements, contact pressure, and also for the applied load vs contact patch length plots. The results obtained from the Cosserat, shear deformation, and Flügge-Lur’e-Byrne shell theories are compared with those from finite element simulation (using ABAQUS). It has been observed that for thin shells (that is for thickness to radius ratio less than 0.1) the contact pressure and load vs contact length results obtained from the Cosserat theory and FE simulation are in excellent agreement. In contrast, the contact pressure obtained from shear deformation and Flügge-Lur’e-Byrne theories has a non-zero value at the edge of the contact region that is there is a discontinuity in contact pressure at the contact edge. Also, the limitations of Flügge-Lur’e-Byrne theory to accurately predict the load vs contact patch length behavior have been highlighted. Therefore, it has been concluded that the inclusion of transverse shear strains along with transverse normal stress and strain is necessary in order to accurately capture the physics of the contact problems of shell-like structures and Cosserat theory provides the best analysis for such complex problems." @default.
- W4318832089 created "2023-02-02" @default.
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- W4318832089 date "2023-01-01" @default.
- W4318832089 modified "2023-09-26" @default.
- W4318832089 title "Contact of a Cylindrical Shell with a Flat Frictionless Rigid Substrate" @default.
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- W4318832089 doi "https://doi.org/10.1007/978-981-19-8016-9_15" @default.
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