3D hygro-elastic shell model for the analysis of composite and sandwich structures

2022 ◽  
pp. 115162
Author(s):  
S. Brischetto ◽  
R. Torre
Keyword(s):  
Shell Model ◽  
Sandwich Structures ◽  
Elastic Shell

An Elastic Shell Model for the Human Tricuspid Valve

2019 ◽  
Vol 35 (1) ◽  
pp. 111-128 ◽  
Author(s):  
Xiao-qin Shen ◽  
Qian Yang ◽  
Lin-jin Li ◽  
Li Cai ◽  
Xiao-shan Cao
Keyword(s):  
Shell Model ◽  
Tricuspid Valve ◽  
Elastic Shell

Orthotropic elastic shell model for buckling of microtubules

2006 ◽  
Vol 74 (5) ◽  
Author(s):  
C. Y. Wang ◽  
C. Q. Ru ◽  
A. Mioduchowski
Keyword(s):  
Shell Model ◽  
Elastic Shell

An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type

2018 ◽  
Vol 28 (14) ◽  
pp. 2833-2861 ◽  
Author(s):  
Philippe G. Ciarlet ◽  
Cristinel Mardare
Keyword(s):  
Shell Model ◽  
Energy Function ◽  
Vector Fields ◽  
Elastic Shell ◽  
Existence Theory ◽  
Specific Class ◽  
Two Dimensional ◽  
Stored Energy ◽  
Nonlinear Shell ◽  
Order Part

We propose a minimization problem with a stored energy function that is polyconvex and satisfies all the other assumptions of John Ball’s theorem, while being at the same time well adapted for modeling a nonlinearly elastic shell. By restricting the admissible deformations to be specific quadratic polynomials with respect to the transverse variable, we are able to define a new nonlinear shell model for which a satisfactory existence theory is available and that is still two-dimensional, in the sense that minimizing the corresponding total energy amounts to finding three vector fields defined on the closure of a bounded open subset of [Formula: see text]. The most noteworthy feature of our nonlinear shell model is that the “lowest order part” of its stored energy function coincides, at least formally, with the stored energy function found in Koiter’s model for a specific class of deformations that are to within the first-order identical to the Kirchhoff–Love deformations considered by W. T. Koiter.

FREE VIBRATION OF MICROTUBULES AS ELASTIC SHELL MODEL BASED ON MODIFIED COUPLE STRESS THEORY

2015 ◽  
Vol 15 (03) ◽  
pp. 1550037 ◽  
Author(s):  
YAGHOUB TADI BENI ◽  
M. KARIMI ZEVERDEJANI
Keyword(s):  
Cylindrical Shell ◽  
Shell Model ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Elastic Shell ◽  
Modified Couple Stress Theory ◽  
Experimental Results ◽  
Beam Model ◽  
Stress Theory ◽  
Modified Couple Stress

In this study, first, the thin cylindrical shell theory was derived from the modified couple stress theory and, afterwards, the vibration of protein microtubules (MTs) was investigated using the developed model. In order to model protein MTs more precisely, the cylindrical micro-shell model was used. Also, to take account of small size effects, equations of motion were obtained on the basis of the modified couple stress theory. For this purpose, first, using Hamilton's principle, vibration equations of cylindrical shell with boundary conditions were derived from the modified couple stress theory. Finally, the effects of size parameters, MT dimensions, and the medium surrounding on the axial and circumferential vibration frequency of the MT were examined. It should be noted that the results obtained from the cylindrical micro-shell model, unlike those from the beam model, have lower dependency on MT length, but they have extreme dependency on MT thickness and radius. In the end, it is worth noting that the model developed in this study can predict experimental results with greater precision compared to classic models. In other words, this model narrows the gap existing between experimental results and previous models and theories.

Sign in / Sign up

Export Citation Format

Share Document