Expansions in Papkovich—fadle Functions in the Problem for a Half-Strip With a Clamped End

Key Points

• This research aims to solve the boundary value problem in elasticity for a free half-strip with a clamped end.
• Constructed exact solution using Papkovich—Fadle eigenfunctions and orthogonality relation.
• Determined coefficients explicitly through Lagrange expansions.
• Analyzed stress behavior near corner points of the half-strip.
• Compared exact solution with numerical solution from finite element method.
• Established exact solution for boundary value problem of half-strip with clamped end.
• Demonstrated explicit expressions for coefficients in Papkovich—Fadle series.
• Showed satisfactory agreement between exact and finite element numerical solutions.

Abstract