Small Deflections of Linear Elastic Circular Membranes Under Lateral Pressure

1983 ◽  
Vol 50 (4a) ◽  
pp. 735-739 ◽  
Author(s):  
B. Stora˚kers
Keyword(s):  
Numerical Analysis ◽  
Lateral Pressure ◽  
Computer Method ◽  
Uniform Pressure ◽  
Linear Elastic ◽  
Pressure Load ◽  
Elastic Membranes ◽  
Quantitative Results ◽  
Circular Contour ◽  
Considerable Detail

The classical Fo¨ppl equations, governing the deflection of plane elastic membranes, are cast in a form convenient for numerical analysis in the case of a circular contour. A solution based on a standard computer method is given for uniform pressure load. Quantitative results within determined accuracy are reported in considerable detail together with a discussion of the physical range of validity.

Variation Principles and Bounds for the Approximate Analysis of Plane Membranes Under Lateral Pressure

1983 ◽  
Vol 50 (4a) ◽  
pp. 743-749 ◽  
Author(s):  
B. Stora˚kers
Keyword(s):  
Lateral Pressure ◽  
Practical Interest ◽  
Upper Bounds ◽  
Approximate Analysis ◽  
Lower And Upper Bounds ◽  
First Order ◽  
Linear Elastic ◽  
Consistent Approximation ◽  
Elastic Membranes ◽  
Variational Formulations

A first-order consistent approximation for the analysis of small deflections of membranes is given several variational formulations. Lower and upper bounds are derived for the volume enclosed by deformed and undeformed membranes. The power of the principles is discussed and their application is illustrated by some cases of practical interest. Explicit analytical results are given for linear elastic membranes having circular, elliptic, and rectangular contours.

A Viscoelastic Correspondence Principle for Plane Membranes Subjected to Lateral Pressure

1983 ◽  
Vol 50 (4a) ◽  
pp. 740-742 ◽  
Author(s):  
B. Stora˚kers
Keyword(s):  
Time Dependence ◽  
Viscoelastic Material ◽  
Lateral Pressure ◽  
Correspondence Principle ◽  
Material Model ◽  
Material Behavior ◽  
Linear Elastic Material ◽  
First Order ◽  
Linear Elastic ◽  
Consistent Approximation

The classical Fo¨ppl equations, governing the deflection of plane membranes, constitute the first-order consistent approximation in the case of linear elastic material behavior. It is shown that despite the static and kinematic nonlinearities present, for arbitrary load histories a correspondence principle for viscoelastic material behavior exists if all relevant relaxation moduli are of uniform time dependence. Application of the principle is illustrated by means of a popular material model.

Collapse strength of hatch cover of bulk carrier subjected to lateral pressure load

2003 ◽  
Vol 16 (8) ◽  
pp. 687-709 ◽  
Author(s):  
Tetsuya Yao ◽  
Atsushi Magaino ◽  
Toshiro Koiwa ◽  
Shugo Sato
Keyword(s):  
Lateral Pressure ◽  
Bulk Carrier ◽  
Pressure Load ◽  
Collapse Strength

scholarly journals Analysis of the Elastic Large Deflection Behavior for Metal Plates under Nonuniformly Distributed Lateral Pressure with In-Plane Loads

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Jeom Kee Paik ◽  
Ju Hye Park ◽  
Bong Ju Kim
Keyword(s):  
Pressure Distribution ◽  
Large Deflection ◽  
Lateral Pressure ◽  
Water Pressure ◽  
Offshore Structures ◽  
Design Methods ◽  
Uniform Pressure ◽  
Bending Moments ◽  
Maritime Industry ◽  
Metal Plates

The Galerkin method is applied to analyze the elastic large deflection behavior of metal plates subject to a combination of in-plane loads such as biaxial loads, edge shear and biaxial inplane bending moments, and uniformly or nonuniformly distributed lateral pressure loads. The motive of the present study was initiated by the fact that metal plates of ships and ship-shaped offshore structures at sea are often subjected to non-uniformly distributed lateral pressure loads arising from cargo or water pressure, together with inplane axial loads or inplane bending moments, but the current practice of the maritime industry usually applies some simplified design methods assuming that the non-uniform pressure distribution in the plates can be replaced by an equivalence of uniform pressure distribution. Applied examples are presented, demonstrating that the current plate design methods of the maritime industry may be inappropriate when the non-uniformity of lateral pressure loads becomes more significant.

Elastic Deformations of Strips and Circular Plates Under Uniform Pressure

1986 ◽  
Vol 53 (4) ◽  
pp. 873-880
Author(s):  
S. Im ◽  
R. T. Shield
Keyword(s):  
Rectangular Plate ◽  
Small Strain ◽  
Structural Theory ◽  
Thin Plates ◽  
Elastic Behavior ◽  
Uniform Pressure ◽  
Circular Plates ◽  
Consistent Theory ◽  
Elastic Deformations ◽  
Linear Elastic

A consistent theory for linear elastic behavior in which the strains are small but in which the displacements and rotations can be large is applied to the bending of a long rectangular plate and of a circular plate by uniform pressure. Within the range of small-strain, linear elastic behavior, the theory provides solutions for all slenderness ratios of the plates and magnitudes of the loading. Thus the theory bridges the gap between the classical theory and the nonlinear structural theory of Fo¨ppl and von Ka´rma´n. The results show that the von Ka´rma´n equations provide accurate solutions for thin plates for which deflections are not small.

Numerical Analysis of the E-Type Diaphragm Based on ANSYS

2014 ◽  
Vol 623 ◽  
pp. 34-40
Author(s):  
Li Na Song ◽  
Jun Shao ◽  
De Quan Feng ◽  
Wei Fan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Numerical Model ◽  
Pressure Sensor ◽  
Element Model ◽  
Uniform Pressure ◽  
Sensing Element ◽  
Element Simulation ◽  
The Finite Element Model

With finite element method, the numerical model of the E-type diaphragm was built in this paper. Based on the model, we got the shear strain law of the E-type diaphragm surface under uniform pressure. Taking it as elastic element and the FBG as sensing element, we made a FBG pressure sensor and obtained the experiment result. The result fit well with finite element simulation value. It shows that the finite element model in the paper is reasonable and effective. The model can be used to design and optimize the sensor.

scholarly journals Numerical Analysis of Bowing Phenomenon Due to Thermal Stresses in Marble Slabs

Materials ◽  
2020 ◽  
Vol 13 (19) ◽  
pp. 4367
Author(s):  
William Hideki Ito ◽  
Anna Maria Ferrero ◽  
Paulo Ivo Braga de Queiroz
Keyword(s):  
Numerical Analysis ◽  
Thermal Loading ◽  
Thermal Stresses ◽  
Thermal Action ◽  
Internal Stresses ◽  
Linear Elastic ◽  
Ornamental Stones ◽  
Strain Relationship ◽  
Parametric Analyses ◽  
External Covering

Bowing is a pathology known by the deformation experienced in some external covering systems in ornamental stones, especially in marble, and thermal action is one of the key factors that lead to this degradation. Previous studies presented remarkable contributions about the mechanical behavior of bowing but they were based on classical beam’s theory and improper assumptions might mislead the evaluation of internal stresses. This study proposes to evaluate internal stresses in bowing due to thermal loading considering the true deformed shape in continuum media. Finite displacement concepts are proposed to calculate stress-strain relationship and comparison with linear elastic theory is also addressed. Internal stresses not predictable in the Euler-Bernoulli beam were found in parametric analyses. Moreover, the numerical analysis accomplished in this paper indicates that transient heat flux should induce higher stresses than just considering higher gradients of temperature in steady flux which could explain the larger decohesion through width in bowing tests.

Elasto-Plastic Numerical Analysis on Elliptic Cavity Expansion under Uniform Pressure

2011 ◽  
Vol 243-249 ◽  
pp. 2162-2166
Author(s):  
Heng Chang Liang ◽  
Guo Qing Zhou ◽  
Xiang Yu Shang
Keyword(s):  
Numerical Analysis ◽  
Geotechnical Engineering ◽  
Cavity Wall ◽  
Cavity Expansion ◽  
Uniform Pressure ◽  
Circular Shape ◽  
Spherical Cavities ◽  
Elliptic Cavity ◽  
Distribution Of Stress ◽  
Expansion Period

Analysis of the expansion of cylindrical and spherical cavities in soil and rock provides a versatile and accurate geomechanics approach for study of important problems in geotechnical engineering. As the method getting more important, the analysis of non-circular shape cavity is becoming significance. The paper has investigated the cavity wall shape varying characteristic and elasto-plastic distribution of stress of elliptic shape cavity under internal uniform pressure during the expansion period through ABAQUS FEM numerical. It pointed that the elliptic cavity wall will tend to circle shape as the internal uniform pressure increasing. It also gain that the elasto-plastic distribution around the elliptic cavity is bigger than spherical cavity’s and smaller than spherical cavity’s when material and pressure are same . The stress characters and the cavity wall transfiguration result is useful for estimate non-circular shape cavity expansion.

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