Discussion of “Finite Deformations of Biaxially Loaded Columns”

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.

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Topology Optimization Algorithm for Plates and Shells Subjected to Plastic Deformations

Volume 2: 24th Design Automation Conference ◽

10.1115/detc98/dac-5603 ◽

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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Influence of Thermal Expansion in an Inhomogeneous Stationary Temperature Field on the Inhomogeneous Stress-Strain State of an Incompressible Elastomer Solid under Static Finite Deformations

Mechanics of Solids ◽

10.3103/s0025654421020151 ◽

2021 ◽

Vol 56 (2) ◽

pp. 150-161

Author(s):

B. A. Zhukov

Keyword(s):

Thermal Expansion ◽

Temperature Field ◽

Strain State ◽

Finite Deformations ◽

Stress Strain ◽

Stationary Temperature Field ◽

Stress Strain State

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