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Calculating local geomembrane strains from gravel particle indentations with thin plate theory
Abstract A new general method is presented to calculate local strains in geomembranes from the deformed shape imposed by overlying coarse gravel particles under vertical pressure. Past methods assume that the geomembrane attains its deformed shape by only deforming vertically and hence neglect the effect of lateral displacements on strain. The new method treats the geomembrane as a thin plate with mid surface components of displacements in three directions (x, y and z). Lateral components of displacements (those in the x and y directions) are related to vertical displacements (z direction) by large-strain-displacement relationships and compatibility of strains. Normal and shear strains in the lateral directions are calculated using Airy's stress function and a linear elastic constitutive law. Bending and torsional strains calculated from curvature and are added to the mid surface strains to find strains on the top and bottom surfaces. The method was validated against data sets with known three-dimensional displacements and strain generated by finite element analysis. The application of the new method to calculate local strains in a geomembrane from the deformed shape obtained from a protection-layer-assessment physical test is illustrated.
Highlights A new general method for calculating local geomembrane strain from gravel particle indentations is presented. The new thin plate method considers both vertical and lateral displacements. Only vertical displacements from the deformed shape of the geomembrane are required as input. Lateral displacements are considered via large-strain-displacement relationships and compatibility of strains. The method was validated by comparison with geometrically-nonlinear finite element analysis. Past methods were found to under predict the maximum strain by 60 to 70%.
Calculating local geomembrane strains from gravel particle indentations with thin plate theory
Abstract A new general method is presented to calculate local strains in geomembranes from the deformed shape imposed by overlying coarse gravel particles under vertical pressure. Past methods assume that the geomembrane attains its deformed shape by only deforming vertically and hence neglect the effect of lateral displacements on strain. The new method treats the geomembrane as a thin plate with mid surface components of displacements in three directions (x, y and z). Lateral components of displacements (those in the x and y directions) are related to vertical displacements (z direction) by large-strain-displacement relationships and compatibility of strains. Normal and shear strains in the lateral directions are calculated using Airy's stress function and a linear elastic constitutive law. Bending and torsional strains calculated from curvature and are added to the mid surface strains to find strains on the top and bottom surfaces. The method was validated against data sets with known three-dimensional displacements and strain generated by finite element analysis. The application of the new method to calculate local strains in a geomembrane from the deformed shape obtained from a protection-layer-assessment physical test is illustrated.
Highlights A new general method for calculating local geomembrane strain from gravel particle indentations is presented. The new thin plate method considers both vertical and lateral displacements. Only vertical displacements from the deformed shape of the geomembrane are required as input. Lateral displacements are considered via large-strain-displacement relationships and compatibility of strains. The method was validated by comparison with geometrically-nonlinear finite element analysis. Past methods were found to under predict the maximum strain by 60 to 70%.
Calculating local geomembrane strains from gravel particle indentations with thin plate theory
Eldesouky, H.M.G. (author) / Brachman, R.W.I. (author)
Geotextiles and Geomembranes ; 51 ; 56-72
2022-09-27
17 pages
Article (Journal)
Electronic Resource
English
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