A double approximation of finite deformations of a shell

1996 ◽  
Vol 37 (3) ◽  
pp. 421-425
Author(s):  
L. G. Golovina ◽  
L. I. Shkutin
Keyword(s):  
Finite Deformations ◽  
Double Approximation

Viscoelasticity behavior for finite deformations, using a consistent hypoelastic model based on Rivlin materials

2016 ◽  
Vol 28 (6) ◽  
pp. 1741-1758 ◽  
Author(s):  
Guillaume Altmeyer ◽  
Benoit Panicaud ◽  
Emmanuelle Rouhaud ◽  
Mingchuan Wang ◽  
Arjen Roos ◽  
...  
Keyword(s):  
Finite Deformations ◽  
Model Based ◽  
Hypoelastic Model

Finite plastic constitutive laws for finite deformations

1995 ◽  
Vol 109 (1-4) ◽  
pp. 79-99 ◽  
Author(s):  
H. Bergander
Keyword(s):  
Finite Deformations ◽  
Constitutive Laws

Spherical waves in a simple locking medium

1964 ◽  
Vol 54 (2) ◽  
pp. 737-754
Author(s):  
Sathyanarayana Hanagud
Keyword(s):  
Shock Wave ◽  
Stress Distribution ◽  
Mechanical Behavior ◽  
Spherical Cavity ◽  
Shear Resistance ◽  
Finite Deformations ◽  
Spherical Shock Wave ◽  
Spherical Waves ◽  
Spherical Shock ◽  
Elastic Shear

ABSTRACT The mechanical behavior of some types of soils can be idealized by that of a “Locking Solid.” This paper investigates the spherical shock wave and the stress distribution behind the wave in a simple locking solid due to a sudden explosion at the surface of a small spherical cavity. The cases of infinitesimal and finite deformations are considered. The effect of an elastic shear resistance and the consequent phenomenon of “unlocking” are also studied.

Topology Optimization Algorithm for Plates and Shells Subjected to Plastic Deformations

1998 ◽  
Author(s):  
Kohei Yuge ◽  
Nobuhiro Iwai ◽  
Noboru Kikuchi
Keyword(s):  
Topology Optimization ◽  
Optimization Method ◽  
Homogenization Method ◽  
Finite Deformations ◽  
Thin Shells ◽  
Plastic Deformations ◽  
Material Tensor ◽  
Design Variables ◽  
Interpolation Technique ◽  
Plates And Shells

Abstract A topology optimization method for plates and shells subjected to plastic deformations is presented. The algorithms is based on the generalized layout optimization method invented by Bendsϕe and Kikuchi (1988), where an admissible design domain is assumed to be composed of microstructures with periodic cavities. The sizes of the cavities and the rotational angles of the microstructures are design variables which are optimized so as to minimize the applied work. The macroscopic material tensor for the porous material is numerically calculated by the homogenization method for the sensitivity analysis. In this paper, the method is applied to two-dimensional elasto-plastic problems. A database of the material tensor and its interpolation technique are presented. The algorithm is expanded into thin shells subjected to finite deformations. Several numerical examples are shown to demonstrate the effectiveness of these algorithms.

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