Plate and Shell Structures: Selected Analytical and Finite Element Solutions

Plate and Shell Structures:

Selected Analytical and Finite Element Solutions

Maria Radwañska, Anna Stankiewicz, Adam Wosatko, Jerzy Pamin

Cracow University of Technology, Poland

Comprehensively covers the fundamental theory and analytical and numerical solutions for different types of plate and shell structures

Plate and Shell Structures: Selected Analytical and Finite Element Solutions not only provides the theoretical formulation of fundamental problems of mechanics of plates and shells, but also several examples of analytical and numerical solutions for different types of shell structures. The book contains advanced aspects related to stability analysis and a brief description of modern finite element formulations for plates and shells, including the discussion of mixed/hybrid models and locking phenomena.

Key features:

• 52 example problems solved and illustrated by more than 200 figures, including 30 plots of finite element simulation results.
• Contents based on many years of research and teaching the mechanics of plates and shells to students of civil engineering and professional engineers.
• Provides the basis of an intermediate-level course on computational mechanics of shell structures.

The book is essential reading for engineering students, university teachers, practitioners and researchers interested in the mechanics of plates and shells, as well as developers testing new simulation software.

Keywords: Shells - thin-walled curved structures; Local or global formulations; Comparisons of analytical, approximate and numerical solutions; Basic and advanced FEs formulation; Flat membranes (rectangular/circular/annular); Plates under bending and transverse shear (rectangular/circular/annular); Membrane, bending, shear states in shells (cylindrical, spherical, conical); Statics and thermal analysis/examples/solutions; Linear buckling and nonlinear instability analysis; Free vibration analysis, Aeronautic & Aerospace Engineering, Structural Theory & Structural Mechanics, Aeronautic & Aerospace Engineering, Structural Theory & Structural Mechanics