MonographDOI
Theories and Analyses of Beams and Axisymmetric Circular Plates
TLDR
Theories and Analyses of Beams and Axisymmetric Circular Plates will be of interest to aerospace, civil, materials, and mechanical engineers, alongside students and researchers in solid and structural mechanics as discussed by the authors .Abstract:
This comprehensive textbook compiles cutting-edge research on beams and circular plates, covering theories, analytical solutions, and numerical solutions of interest to students, researchers, and engineers working in industry. Detailing both classical and shear deformation theories, the book provides a complete study of beam and plate theories, their analytical (exact) solutions, variational solutions, and numerical solutions using the finite element method. Beams and plates are some of the most common structural elements used in many engineering structures. The book details both classical and advanced (i.e., shear deformation) theories, scaling in complexity to aid the reader in self-study, or to correspond with a taught course. It covers topics including equations of elasticity, equations of motion of the classical and first-order shear deformation theories, and analytical solutions for bending, buckling, and natural vibration. Additionally, it details static as well as transient response based on exact, the Navier, and variational solution approaches for beams and axisymmetric circular plates, and has dedicated chapters on linear and nonlinear finite element analysis of beams and circular plates. Theories and Analyses of Beams and Axisymmetric Circular Plates will be of interest to aerospace, civil, materials, and mechanical engineers, alongside students and researchers in solid and structural mechanics. read more
Citations
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Journal ArticleDOI
Nonlocal integral elasticity for third-order small-scale beams
TL;DR: In this article , the size-dependent behavior of non-local elastic beams is investigated by adopting the stress-driven elasticity theory, and an analytical strategy is proposed to obtain closed-form solutions.
Journal ArticleDOI
A combined principal component analysis and energy minimization-based approach to model deformation of web core beams
Journal ArticleDOI
Nonlocal Elasticity for Nanostructures: A Review of Recent Achievements
TL;DR: In this article , a thorough investigation of continuum nano-mechanics is provided, starting with the early theories of nonlocal elastic continua, and a thorough analysis of nanostructures is illustrated and discussed.
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