Deflection of thin circular elastic plates under ...

The theoretical expressions for the deflection of a plate were obtained from Bassali's work [2) and a previous specialization [1] of his work which dealt with the defl ection of centrally loaded thin circular elastic plates on equally spaced point supports. The previous case considered that

2.080 Structural Mechanics Lecture 11: Buckling of Plates ...

For a square plate the buckling coe cient is 9.35 while for an in nitely long plate, a˛b it reduces to 5.35. Loading the plate in the double shear experiment for beyond the elastic buckling load produces a set of regular skewed dimples seen in Fig. (11.8). 11.4 Buckling of Sections

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Free vibration of simply supported and multilayered ...

Pan and Heyliger [11] found that some natural frequencies of a multi-field plate were identical to the ones of the corresponding elastic plate. Nonlinear free vibration of magneto-electro-elastic rectangular plates is studied by Razavi [12] .

Plate theory - Wikipedia

In general, exact solutions for cantilever plates using plate theory are quite involved and few exact solutions can be found in the literature. Reissner and Stein provide a simplified theory for cantilever plates that is an improvement over older theories such as Saint-Venant plate theory.

Symmetrical bending of thin circular elastic plates on ...

circular elastic plate subjected to symmetrical bending is a problem which is often encountered in the design and analysis of structural elements or systems. This study deals.,with the solution of this problem for a thin circular elastic plate supported at points equally spaced along a concen­

A non-local asymptotic theory for thin elastic plates ...

Consider an elastic plate of thickness 2h and microscale size a with traction-free faces . The three-dimensional equations of motion in non-local elasticity can be written as The three-dimensional equations of motion in non-local elasticity can be written as

Ch04 2008 v4 - Department of Civil Engineering

The elastic critical stress of a long plate segment is determined by the plate width-to-thickness ratio b/t, by the restraint conditions along the longitudinal boundaries, and by the elastic material properties (elastic modulus, E, and Poisson's ratio ν).

Droplet impact onto an elastic plate: a new mechanism for ...

During a droplet impact onto a substrate, splashing is known to be caused by the presence of surrounding gas or by surface roughness. Impact occurring in a vacuum onto a smooth rigid wall results in droplet spreading, rather than development of a corona or prompt splash.

Elastic impact response of a nonlocal rectangular plate ...

The impact of a nonlocal plate with an indenter was theoretically studied. • A conceptual contact law was utilized based on van-der Waals forces. • Nonlocal parameter has significant effects on transient behavior of the plate. • Despite macro elastic models, new model suggests that particle might stick to plate. •

Dynamic response of an elastic plate containing periodic ...

The solution of an elastic plate containing periodic edge and embedded masses harmonically loaded in space and time has been derived and found to compare favorably with previously developed thin plate models at low frequency. A numerical example of high-frequency dynamics was presented and the details discussed.

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Wave propagation in an elastic plate resting on an elastic ...

Presented is an analysis of wave propagation in an infinite elastic plate or beam on an elastic foundation. The results are presented in two parts: 1. The frequency spectra (frequency as a function of wave number) for the problem based on existing approximate bending theories are compared with the spectra based on the exact equations of motion from linear elasticity theory.

Introduction to the Theory of Plates - Stanford University

Introduction to the Theory of Plates Charles R. Steele and Chad D. Balch Division of Mechanics and Computation Department of Mecanical Engineering Stanford University Stretching and Bending of Plates - Fundamentals Introduction A plate is a structural element which is thin and flat. By "thin," it is meant that the plate's transverse

On waves in an elastic plate | Proceedings of the Royal ...

The theory of waves in an infinitely long cylindrical rod was discussed by Pochhammer in 1876 in a well-known paper. The somewhat simpler problem of two-dimensional waves in a solid bounded by parallel planes was considered by Lord Rayleigh and by the present writer‡ in 1889.

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J. R. RICE The Part-Through Surface Crack in an Elastic Plate

The Part-Through Surface Crack in an Elastic Plate An elastic analysis is presented for the tensile stretching and bending of a plate contain­ ing a surface crack penetrating part-through the thickness, Fig. 1. The treatment is approximate, in that the two-dimensional generalized plane stress and Kirchhoff-