Shear deformable beams and plates. Relationships with classical solutions.

*(English)*Zbl 0963.74002
Amsterdam: Elsevier. xiv, 296 p. Dfl 191.00; EUR 86.67; $ 99.00 (2000).

The authors and their associates examine shear deformation higher-order theories for beams and plates, which provide more accurate solutions compared to the classical theory. From the text: “The goal of this monography is to bring together the relationships for beams and plates in a single volume”. In a handbook form, the authors present the governing equations. The analytical and numerical results are compared with classical theories and with other solutions. The evolution problems are investigated from the engineering point of view.

The book has two main parts which are subdivided into thirteen chapters. The chapters are completed with problems which can be solved by using the classial engineering background. Extract from contents: Beams: bending of beams; buckling of columns; tapered beams; symmetrically laminated beams. Plates: theories of plate bending; bending relationships for simply supported plates; bending relationships for circular and annular plates; bending relationships for sectorial plates; buckling relationships; polygonal plates; circular plates; sectorial Mindlin plates; free vibration relationships; relationships for inhomogeneous plates; deflection relationships for sandwich plates; free vibration relationships for sandwich plates.

The book has two main parts which are subdivided into thirteen chapters. The chapters are completed with problems which can be solved by using the classial engineering background. Extract from contents: Beams: bending of beams; buckling of columns; tapered beams; symmetrically laminated beams. Plates: theories of plate bending; bending relationships for simply supported plates; bending relationships for circular and annular plates; bending relationships for sectorial plates; buckling relationships; polygonal plates; circular plates; sectorial Mindlin plates; free vibration relationships; relationships for inhomogeneous plates; deflection relationships for sandwich plates; free vibration relationships for sandwich plates.

Reviewer: Rudolf KodnĂˇr (Bratislava)

##### MSC:

74-02 | Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids |

74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |

74K20 | Plates |

74H45 | Vibrations in dynamical problems in solid mechanics |