scholarly journals Correlation functions for strain fields in elastic-plastic composites with random microstructure

2016 ◽  
Author(s):  
Natalia Mikhailova ◽  
Mikhail Tashkinov
Keyword(s):  
Correlation Functions ◽  
Strain Fields ◽  
Elastic Plastic ◽  
Plastic Composites ◽  
Random Microstructure

scholarly journals Multipoint Approximation of Statistical Descriptors of Local Strain and Stress Fields in Heterogeneous Media Using Integral Equation Method

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Mikhail Tashkinov
Keyword(s):  
Correlation Functions ◽  
Heterogeneous Media ◽  
Boundary Value ◽  
Local Strain ◽  
Statistical Characteristics ◽  
Stress And Strain ◽  
Strain Fields ◽  
Representative Volume ◽  
Multipoint Approximation ◽  
Analytical Expressions

This paper is devoted to derivation of analytic expressions for statistical descriptors of stress and strain fields in heterogeneous media. Multipoint approximations of solutions of stochastic elastic boundary value problems for representative volume elements are investigated. The stress and strain fields are represented in the form of random coordinate functions, for which analytical expressions for the first- and second-order statistical central moments are obtained. Such moments characterize distribution of fields under prescribed loading of a representative volume element and depend on the geometry features and location of components within a volume. The information of the internal geometrical structure is taken into account by means of multipoint correlation functions. Within the framework of the second approximation of the boundary value problem, the correlation functions up to the fifth order are required to calculate the statistical characteristics. Using the method of Green’s functions, analytical expressions for the moments in distinct phases of the microstructure are obtained explicitly in a form of integral equations. Their analysis and comparison with previously obtained results are performed.

Mechanical Deformation Modeling of Diamond/Gaas Structures

1996 ◽  
Vol 445 ◽  
Author(s):  
Nickolaos Strifas ◽  
Aris Christou
Keyword(s):  
Finite Strain ◽  
Volume Fraction ◽  
Mechanical Deformation ◽  
Interfacial Shear ◽  
Stress And Strain ◽  
Uniform Temperature ◽  
Element Analysis ◽  
Strain Fields ◽  
Elastic Plastic ◽  
Plastic Analysis

AbstractIn this study a finite strain elastic-plastic finite element analysis is performed on diamond/GaAs structures. A series of models based upon the principal of superposition are proposed to investigate the mechanical deformation and thermal stress behavior of the diamond/gas structure due to coefficients of thermal expansions (CTE) mismatches. The interfacial shear and peeling stresses in multilayered stacks subjected to uniform temperature variation are studied. Finite strain elastic – plastic analysis is performed on a crack which lies on the interface between the diamond and gas materials. The ductile fracture from the tip of the interface crack, the stress and strain fields and distribution of microvoid volume fraction are analyzed.

scholarly journals Computational homogenization of elastic–plastic composites

2013 ◽  
Vol 50 (18) ◽  
pp. 2829-2835 ◽  
Author(s):  
Y.K. Khdir ◽  
T. Kanit ◽  
F. Zaïri ◽  
M. Naït-Abdelaziz
Keyword(s):  
Computational Homogenization ◽  
Elastic Plastic ◽  
Plastic Composites

Stress and strain fields in rotating elastic/plastic annular discs

2015 ◽  
Vol 86 (1-2) ◽  
pp. 235-244 ◽  
Author(s):  
Evgenii Lomakin ◽  
Sergei Alexandrov ◽  
Yeau-Ren Jeng
Keyword(s):  
Stress And Strain ◽  
Strain Fields ◽  
Elastic Plastic
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