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Trends in engineering plate theories

100%

Altenbach J. , Altenbach H.

Eksploatacja i Niezawodność

2001

tom nr 4

21-30

The paper summarises some basic trends in modelling and analysis of refined plate theories not primary from a mathematical aspect but from the viewpoint of engineering application and of an increasing reliability of engineering structure analysis. Shear rigid and shear deformable plate models including shear correction factors or kinematical warping effects can be formulated. An extended two-dimensional theory for transverse shear stress analysis yields improved results, the influence of singularities on the global structure behaviour must be considered and the kinematical degree of freedom of plate models is an important criterion in structural analysis of folded plate structures. Composite materials have become an increasing importance in engineering structures. Multilayered, laminated and sandwich plates are used in aerospace and many other industries. Thin-walled structures composed of composite material have generally a moderate thickness and low transverse stiffness. An adequate modelling of structural plate elements should be given by refined plate theories.

Analysis of rectangular thin plates and plate structures basing on the Vlasov's variational procedure

80%

Altenbach J. , Naumenko K. , Naumenko V. K.

Computer Assisted Mechanics and Engineering Sciences

1998

tom Vol. 5, nr 2

115-128

The solution procedure proposed by Vlasov based on the reduction of the basic two-dimensional boundary value problems into ordinary differential equations provides a good accuracy in the case of rectangular domains with small size ratios. The paper presents an extension of this method applied to rectangular Kirchhoffs plates in connection with the iterational scheme. The results are compared with analytical solutions available for rectangular plates with simplified boundary conditions and loading. The possibilities of application of the solutions for simple plate geometry to complex plate problems (e. g. complex geometry, boundary conditions) are discussed and illustrated by numerical examples.

A phenomenological creep theory including nonclassical effects and creep-damage coupling

80%

Altenbach J. , Altenbach H. , Naumenko K.

Applied Mechanics and Engineering

1999

tom Vol. 4, no spec.

11-16

Many engineering components of structures operate at temperatures high enough for creep to be an important design consideration. The paper formulates time-dependent constitutive equations including higher order effects of deformations.