Non-linear unsteady creep of an ice sheet on a hydraulic foundation

✍ Scribed by V.M. Aleksandrov; A.A. Shmatkova

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 273 KB
• Volume: 60
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(96)00084-6

✦ Synopsis

The problem of the non-linear unsteady creep of the bending deformation of an ice sheet which partially covers a hydraulic foundation is considered within the framework of the hypothesis of plane sections. In a plan view the sheet is a strip of tinite width and length with a :amgle clamped end. This may be shore ice close to the wall of a hydroelectric structure or a plate which has been speciahy sawn out in an ice sheet for natural experimental investigation. A frequently adopted relationship [l, 21 between the strain, creep and stress which is, to some degree, under the sign of a Volterra-type time operator with a non-difference kernel is used to describe the rheology of the ice. A non-linear integrodifferential equation for the bending moment in a sheet on a hydraulic foundation is obtained which is solved by expansion in a series in a certain small time parameter and, subsequently, numerically along a coordinate by the monotonic sweep method. The deflection of the sheet is also found. Characteristic cases of the change in the bending moment and the deflection along the length of the sheet with time are considered.