1217 Development of Hyper-elastic Shell Elements using Ogden Material model and Their Application to Instability Analysis of thin-walled structures

2007 ◽  
Vol 2007.1 (0) ◽  
pp. 13-14
Author(s):  
Masato TANAKA ◽  
Hirohisa NOGUCHI
2004 ◽  
Vol 10 (2) ◽  
pp. 113-122
Author(s):  
Ireneusz Kreja ◽  
Tomasz Mikulski ◽  
Czeslaw Szymczak

A concept of a beam superelement is suggested as a new tool in the static analysis of structures made of thin‐walled members. This proposal seems to be especially attractive for treating the problems where the existing one‐dimensional models do not provide proper solutions. This class of problems includes, for instance, the torsion of thin‐walled beams with battens and the determination of the bimoment distribution at the nodes of frames made of thin‐walled members. The entire segment of the thin‐walled beam with warping stiffener or the whole node of the frame is modelled with shell elements. The stiffness matrix of such thin‐walled beam superelement can be estimated according to the standard procedure of the enforced unit displacements. The accuracy of the proposed one‐dimensional model has proved to be comparable to that offered by the detailed FEM model where the whole structure is represented by a very large number of shell elements.


2005 ◽  
Vol 73 (6) ◽  
pp. 948-958 ◽  
Author(s):  
Pablo D. Zavattieri

A cohesive interface element is presented for the finite element analysis of crack growth in thin specimens. In this work, the traditional cohesive interface model is extended to handle cracks in the context of three-dimensional shell elements. In addition to the traction-displacement law, a bending moment-rotation relation is included to transmit the moment and describe the initiation and propagation of cracks growing through the thickness of the shell elements. Since crack initiation and evolution are a natural outcome of the cohesive zone model without the need of any ad hoc fracture criterion, this model results in automatic prediction of fracture. In particular, this paper will focus on cases involving mode I/III fracture and bending, typical of complex cases existing in industrial applications in which thin-walled structures are subjected to extreme loading conditions (e.g., crashworthiness analysis). Finally, we will discuss how the three-dimensional effects near the crack front may affect the determination of the cohesive parameters to be used with this model.


2021 ◽  
Vol 70 (1) ◽  
pp. 63-77
Author(s):  
Arkadiusz Popławski ◽  
Weronika Piskorz

The paper concerns multivariate numerical analyses of three thin-walled three-dimensional structures of honeycomb, rectangular and auxetic topologies. The analyses were preceded by the selection of the material from which the structures could potentially be made. The most optimal material was selected from three metallic materials for which an advanced constitutive material model and a failure model were available. The use of an appropriate model has allowed a number of phenomena to be taken into account during the very complex perforation process, which translates into the quality and accuracy of the numerical results obtained. The main numerical analyses carried out after the material selection stage, focused on the analysis of the strength of the structures in the process of their perforation with objects in the form of a ball with a diameter of 10 mm. The three objects hitting the structures were arranged in such a way as to take into account the influence of the impact location on the perforation process. Based on the measurement of the perforation depth of the balls and the analysis of the area of impact on the structure, the most strength topology was selected. In the next step, additional numerical analyses were carried out to determine the effectiveness of the structure and to estimate its ballistic limit.


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