141 The Void Growth Analysis in the Thin Walled Circular Plate of the Hyper-Elastic Material with Uniform Pressure

2005 ◽  
Vol 2005 (0) ◽  
pp. 83-84
Author(s):  
Tomoaki TSUJI ◽  
Syouzou KATAHIRA
Keyword(s):  
Circular Plate ◽  
Elastic Material ◽  
Void Growth ◽  
Growth Analysis ◽  
Uniform Pressure ◽  
Hyper Elastic ◽  
Thin Walled

The Void Growth Simulations in the Hyper-Elastic Material with Multiple Seeds

2005 ◽  
Vol 502 ◽  
pp. 45-50
Author(s):  
Tomoaki Tsuji
Keyword(s):  
Cellular Automaton ◽  
Elastic Material ◽  
Void Growth ◽  
Tensile Load ◽  
Critical Value ◽  
Void Coalescence ◽  
Rectangular Cell ◽  
Non Linear ◽  
Hyper Elastic

The behaviors of a material are nonlinear in the large deformed region. The hyper elastic models can describe such non linear materials. If the hyper elastic material is applied to the hydrostatic tensile load, the void begins to grow when the load exceed the critical value. It is important to study the coalescence of the void growth in order to consider the destruction of the material. In this paper, the void growth simulations in the hyper-elastic material with multiple seeds are studied. The unit rectangular cell with small voids is subjected to the hydrostatic tensile load. This problem can be analyzed by FEM. However, the simulation with the larger number of the voids is not possible. Thus, the CA (Cellular Automaton) is used to describe the behaviors of the void coalescence and the possibility of CA is discussed.

Multiple Void Growth Simulations in the Hyper-Elastic Material

2004 ◽  
Author(s):  
Tomoaki Tsuji
Keyword(s):  
Mechanical Properties ◽  
Elastic Material ◽  
Energy Function ◽  
Void Growth ◽  
Tensile Deformation ◽  
Tensile Load ◽  
Critical Value ◽  
The Other ◽  
Hyper Elastic ◽  
Square Cell

If the hydrostatic tensile load is applied to a hyper-elastic material, the void initiates when the load exceeds the critical value. On the other hand, it is important to study multiple void growth phenomena, in order to consider the fracture by coalescence of voids. In this paper, we study the growth of multiple voids in the hyper-elastic material. The material is characterized by the energy function as the compressive material. Some experiments for the rubber, as a hyper-elastic material, are proceeded, in order to obtain these mechanical properties in the energy function. A square cell with some small voids is constructed and applied with tensile deformation by moving outer surface. The large deformation and the non-linear simulations are proceeded by using FEM. If there is only one seed, one void grows from the seed. However, when there are some seeds, we observed the void growing and the void vanishing by the influence from the other voids. The influence of the initial voids scale to the void growth is studied.

Towards Statically Balanced Compliant Joints Using Multimaterial 3D Printing

2014 ◽  
Author(s):  
Arnaud Bruyas ◽  
François Geiskopf ◽  
Pierre Renaud
Keyword(s):  
3D Printing ◽  
Range Of Motion ◽  
Elastic Material ◽  
Geometry Optimization ◽  
Compliant Joints ◽  
Stiffness Properties ◽  
Large Joint ◽  
Hyper Elastic ◽  
Bistable Mechanism ◽  
Novel Design

Compliant joints are widely used in mechanisms when accurate movements are required. With no assembly requested, they are also a great tool for mesoscale robotics, a field in which compactness and large joint amplitudes are necessary features. In this paper, an original multi-material compliant revolute joint is presented. Taking advantage of multi-material 3D printing, it exhibits a novel design with the integration of an hyper-elastic material. Thanks to a helical shape design, a large range of motion is obtained, and the incompressibility of the hyper-elastic material is used to improve the stiffness properties of the joint while keeping it compact. The spring effect of compliant joints makes mechanism actuation more difficult. The proposed joint is therefore designed with an integrated static balancing system in order to minimize actuation torques. The balancing system is composed of a bistable mechanism, which geometry optimization is presented. Experimental assessment demonstrate that the joint possesses a range of motion of 120°, and the balancing system reduces actuation moments by almost 60%.

Flexure of a Circular Plate With a Ring of Holes

1962 ◽  
Vol 29 (3) ◽  
pp. 489-496 ◽  
Author(s):  
H. Kraus
Keyword(s):  
Circular Plate ◽  
Shear Force ◽  
General Boundary Condition ◽  
Uniform Pressure ◽  
Simply Supported ◽  
Moment Distribution ◽  
Theory Of Plates ◽  
Circular Holes ◽  
The Moment ◽  
Kirchhoff Theory

The problem of the moment distribution resulting from a uniform pressure load acting over the surface of a circular plate containing a ring of equally spaced circular holes with, and without, a central circular hole is solved within the framework of the Poisson-Kirchhoff theory of plates. A general boundary condition is applied at the outer rim of the plate to make the solution valid for a range of conditions from the simply supported case to the clamped case. The edges of the perforations are allowed to be either free or to have a net shear force acting. Numerical results in the form of curves are given for typical cases, and the results of a photoelastic test are also presented.

scholarly journals Comparison of Ortho-planar Spring design optimization based on Linear Elastic and Hyper Elastic Materials

2018 ◽  
Vol 166 ◽  
pp. 01004
Author(s):  
Ruetai Graipaspong ◽  
Teeranoot Chanthasopeephan
Keyword(s):  
Topology Optimization ◽  
Elastic Material ◽  
Maximum Stress ◽  
Nonlinear Material ◽  
Small Displacement ◽  
Linear Elastic Material ◽  
Output Displacement ◽  
Linear Elastic ◽  
Hyper Elastic ◽  
Matlab Programming

In this paper, compliant Ortho-planar spring was designed based on a three-dimensional topology optimization method. The computation was developed using MATLAB programming. The objective of this work was to apply dual method to design an Ortho-planar spring while the design should have minimum mass and at the same time satisfy a set of constrained displacement. Throughout this paper, we analyzed a method for designing an Ortho-planar spring using linear elastic material and hyperelastic material. The results showed that under small displacement conditions, the output displacement, maximum stress magnitude, and the maximum stress of linear elastic assumption and hyper-elastic material were relatively close to each other. However, the mass fraction and the layout as the result of the optimization process was different. As for larger displacement, the maximum stress of linear elastic material appeared 2.59 times higher than the maximum stress of the hyper-elastic material model. The topology optimization output based on linear material was invalid because the topology of the computed Ortho-planar spring was not appeared as a one-piece layout while the design based on nonlinear material looked promising.

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