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Bending Behaviour (bending + behaviour)

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Engineering	100%

Selected Abstracts

A non-linear triangular curved shell element

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, Issue 4 2004
T. Wenzel
Abstract The objective of this paper is to present and test a simple triangular finite shell element that uses five degrees of freedom at each node. The element is characterized by three position vectors and three unit directors. It depicts the plane stress state version of the element presented (Comput. Struct. 1989; 32(2):379). The element is of the ANS-type (assumed natural strain (J. Appl. Mech. 1981; 48:587). All strains inside the element contain dot products of the six actual element nodal vectors. The construction of the element also allows non-linear material behaviour. Since an enhancement of the membrane strains by the EAS (enhanced assumed strain method) is not possible inside a three node triangle element, the membrane strains perform poor. But via the DKT (discrete Kirchhoff theory) the three directors reveal an excellent bending behaviour for thin shells. The main concern of this paper is to test, if superimposing the CST (constant srain) with the classic DKT leads to good results in standard benchmark tests. Copyright © 2004 John Wiley & Sons, Ltd. [source]

Boundary element analysis of curved cracked panels with adhesively bonded patches

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 1 2003
P. H. Wen
Abstract A new boundary element formulation for analysis of curved cracked panels with adhesively bonded patches is presented in this paper. The effect of the adhesive layer is modelled by distributed body forces (i.e. two in-plane forces, two moments and one out-of-plane force). A coupled boundary integral formulation of a shear deformable plate and two-dimensional plane stress elasticity is used to determine bending and membrane forces along the adhesive layer taking into consideration the compatibility conditions in the patch area. Two numerical examples are presented to demonstrate the efficiency of the proposed method. It is shown that the out-of-plane bending behaviour and panel curvature have significant influence on the magnitude of the stress intensity factors. Copyright © 2003 John Wiley & Sons, Ltd. [source]

Tragverhalten von Flachdecken aus Stahlfaserbeton im negativen Momentenbereich und Bemessungsmodell für das Gesamtsystem

BETON- UND STAHLBETONBAU, Issue 8 2010
Julien Michels Dr.
Baustoffe; Berechnungs- und Bemessungsverfahren; Versuche Abstract Der vorliegende Artikel befasst sich mit dem Tragverhalten von Flachdecken aus Stahlfaserbeton im negativen Momentenbereich. Zugkräfte werden allein von den in der Betonmatrix eingebetteten Stahlfasern aufgenommen, letztere ermöglichen in einer Dosierung von 100 kg/m3 (1.3 % des Volumens) eine hohe Rotationsfähigkeit bei gleichzeitig hoher Tragfähigkeit. In einer ersten Phase kann anhand von Laborversuchen an Deckenausschnitten gezeigt werden, dass bei Flachdecken mit reiner Faserbewehrung und unter rotationssymetrischer Belastung kein Durchstanzen auftritt und sich ein Biegeversagen mit deutlicher Bruchlinienbildung einstellt. Neben den erhaltenen Informationen über Versagensart und -last konnte ebenfalls eine abfallende Faserwirksamkeit mit steigender Plattendicke festgestellt werden. Kombiniert mit den experimentellen Untersuchungen kann anhand nicht-linearer FE-Simulationen der Einfluss von Aussparungen bei lokalem Plattenversagen im Stützenbereich auf die Traglast beschrieben werden. Anhand der Festigkeitsstreuungen und einem semi-probabilistischen Sicherheitskonzept wird ein Sicherheitsfaktor hergeleitet, welcher es ermöglicht, einen Bemessungswert der Querschnittstragfähigkeit zu berechnen. Wegen dem experimentell festgestellten Biegeversagen wird die Bruchlinientheorie als Rechenmodell angewendet. Bearing Capacity of Steel Fiber Reinforced Concrete (SFRC) Flat Slabs in the Negative Bending Moment Area and Design Model for the Complete System The present paper deals with the bearing behaviour of steel fibre reinforced concrete (SFRC) flat slabs in the negative bending moment area. Tensile forces are carried only by steel fibers. The latter allow, due to a dosage of 100 kg/m3 (1.3% in volume), a high rotation capacity with simultaneously high bearing capacities. In a first step experimental analysis showed that under symmetrical loading no punching shear failure occurred. A bending behaviour with creation of yield lines was observed for all test specimens. Furthermore, a decreasing fibre orientation with growing plate height could be noticed. The effect of openings in the column area on the bearing capacity loss in a local failure were evaluated with the use of non-linear finite element software. Scatter in bending tensile strengths was used to calculate a safety factor by the means of a semi-probabilistic safety concept. Eventually, slab design is performed by using yield line theory. [source]

Optimal solid shell element for large deformable composite structures with piezoelectric layers and active vibration control

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 15 2005
X. G. Tan
Abstract In this paper, we present an optimal low-order accurate piezoelectric solid-shell element formulation to model active composite shell structures that can undergo large deformation and large overall motion. This element has only displacement and electric degrees of freedom (dofs), with no rotational dofs, and an optimal number of enhancing assumed strain (EAS) parameters to pass the patch tests (both membrane and out-of-plane bending). The combination of the present optimal piezoelectric solid-shell element and the optimal solid-shell element previously developed allows for efficient and accurate analyses of large deformable composite multilayer shell structures with piezoelectric layers. To make the 3-D analysis of active composite shells containing discrete piezoelectric sensors and actuators even more efficient, the composite solid-shell element is further developed here. Based on the mixed Fraeijs de Veubeke,Hu,Washizu (FHW) variational principle, the in-plane and out-of-plane bending behaviours are improved via a new and efficient enhancement of the strain tensor. Shear-locking and curvature thickness locking are resolved effectively by using the assumed natural strain (ANS) method. We also present an optimal-control design for vibration suppression of a large deformable structure based on the general finite element approach. The linear-quadratic regulator control scheme with output feedback is used as a control law on the basis of the state space model of the system. Numerical examples involving static analyses and dynamic analyses of active shell structures having a large range of element aspect ratios are presented. Active vibration control of a composite multilayer shell with distributed piezoelectric sensors and actuators is performed to test the present element and the control design procedure. Copyright © 2005 John Wiley & Sons, Ltd. [source]