Design of ribbed shells subject to physically nonlinear deformation

1996 ◽  
Vol 28 (4) ◽  
pp. 311-316
Author(s):  
F. F. Gayanov ◽  
V. G. Yakunchikhin
Keyword(s):  
Nonlinear Deformation ◽  
Physically Nonlinear Deformation ◽  
Ribbed Shells

scholarly journals Physically nonlinear deformation of a thin interphase inclusion under antiplane problem conditions

2019 ◽  
pp. 42-54
Author(s):  
Yosyf Piskozub ◽  
Heorgiy Sulym ◽  
Liubov Piskozub
Keyword(s):  
Nonlinear Deformation ◽  
Strain State ◽  
Variable Coefficients ◽  
The Body ◽  
Thin Inclusion ◽  
Stress Strain ◽  
Limit Values ◽  
Stress Strain State ◽  
Physically Nonlinear Deformation ◽  
Antiplane Problem

The longitudinal shear problem of the bimaterial with thin physically nonlinear inclusion at the interface matrix materials is considered. The solution of the formulated problem is constructed by the method of the conjugation of limit values of analytical functions with the use of the jump function method. A model of thin inclusion with arbitrary nonlinear strain characteristics is constructed. The solution of the problem is reduced to a system of singular integral equations with variable coefficients. A convergent iteration method for solving such a system for different types of physically nonlinear deformation is proposed. An incremental calculation method for calculating stress-strain state under multistep (including cyclic) quasi-static loading is developed. Numerical calculations of the body stress-strain state for various values of the parameters of the nonlinearity of the inclusion material are carried out. Their influence on the mode of deformation of the matrix under loading by a balanced system of concentrated forces is investigated.

scholarly journals COMPUTATIONAL DESIGN OF NONLINEAR STRESS-STRAIN OF ISOTROPIC MATERIALS

2021 ◽  
Vol 2021 (1) ◽  
pp. 18-27
Author(s):  
A Polatov ◽  
◽  
Akhmat Ikramov ◽  
D Razmukhamedov
Keyword(s):  
Nonlinear Deformation ◽  
Mutual Influence ◽  
Fibrous Composite ◽  
Solid Material ◽  
Computational Design ◽  
Computational Experiments ◽  
Stress Strain ◽  
Physically Nonlinear Deformation ◽  
Spherical Cavities ◽  
Nonlinear Stress

The article deals with the problems of numerical modeling of nonlinear physical processes of the stress-strain state of structural elements. An elastoplastic medium of a homogeneous solid material is investigated. The results of computational experiments on the study of the process of physically nonlinear deformation of isotropic elements of three-dimensional structures with a system of one- and double-periodic spherical cavities under uniaxial compression are presented. The influence and mutual influence of stress concentrators in the form of spherical cavities, vertically located two cavities and a horizontally located system of two cavities on the deformation of the structure are investigated. Numerical algorithms have been developed for solving the problems of physically nonlinear deformation of structures made of structural materials, which make it possible to effectively use the capabilities of computer technology. The optimal parameters of computational experiments on the construction and calculation of structures made of fibrous composite materials using a specialized software package have been determined.

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