A Hamiltonian state space approach to anisotropic elasticity and piezoelasticity

DOI10.1007/s00707-013-0874-6zbMath1398.74109OpenAlexW2046023937MaRDI QIDQ359522

Hsi-Hung Chang, Jiann-Quo Tarn

Publication date: 12 August 2013

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-013-0874-6

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Electromagnetic effects in solid mechanics (74F15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items

On various equations of the analytical mechanics of thick-walled heterogeneous shells and some of their applications in wave dispersion problems, Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid

Cites Work

• A Hamiltonian state space approach for 3D analysis of circular cantilevers
• A refined state space formalism for piezothermoelasticity
• A circular elastic cylinder under its own weight
• Axisymmetric deformation of a transversely isotropic cylindrical body: A Hamiltonian state-space approach
• A state space approach for exact analysis of composite laminates and functionally graded materials
• A state space formalism for anisotropic elasticity. I: Rectilinear anisotropy.
• A state space formalism for anisotropic elasticity. II: Cylindrical anisotropy.
• A state space formalism for piezothermoelasticity.
• Exact analysis of curved beams and arches with arbitrary end conditions: a Hamiltonian state space approach
• Three-dimensional elasticity solutions for rectangular orthotropic plates
• Methods of matrix algebra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item