A generalization and application of the Michell solution for functionally graded circular planes

DOI10.1007/s00033-021-01631-6zbMath1482.74046OpenAlexW3212968260MaRDI QIDQ2051382

R. T. Faal, H. Goleij, Ali R. Fotuhi, Abbas S. Milani

Publication date: 24 November 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01631-6

zbMATH Keywords

functionally graded materialconfluent hypergeometric functioncompositeMichell solutiongeneralized Frobenius methodhollow thick-walled cylinder

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05) Random materials and composite materials (74A40)

Cites Work

• Stress analysis of functionally graded rotating discs: analytical and numerical solutions
• A pressurized functionally graded hollow cylinder with arbitrarily varying material properties
• Exact solutions and material tailoring for functionally graded hollow circular cylinders
• Elastic and viscoelastic solutions to rotating functionally graded hollow and solid cylinders
• Analysis of functionally graded rotating disks with variable thickness
• The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials
• Thermo-elastic analysis of a functionally graded rotating hollow circular disk with variable thickness and angular speed
• Material tailoring and moduli homogenization for finite twisting deformations of functionally graded Mooney-Rivlin hollow cylinders
• Anti-plane analysis of a functionally graded strip with multiple cracks
• Material tailoring and universal relations for axisymmetric deformations of functionally graded rubberlike cylinders and spheres
• Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads
• Unnamed Item