Non-local constitutive equations for functionally graded materials
Source abstract
Abstract
Abstract In this paper, composites with a graded distribution of heterogeneities are considered. The heterogeneities vary in statistically non-uniform fashion since in a finite layer (or region) properties such as local volume fraction vary gradually. In order to study this class of composites, a procedure of analysis which leads to the effective constitutive non-local operator of the medium is proposed. For two-phase composites, an approximation of Hashin–Shtrikman type for this operator has been obtained in real space and this has been developed explicitly in the case of laminates.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Material Mechanics · Advanced Mathematical Modeling in Engineering · Numerical methods in engineering
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References (16)
Show source-provided references
1. Mean field variations in a statistical sample of heterogeneous linearly elastic solids10.1016/0020-7683(70)90046-6 ↗
2. The use of strain gradient theory for analysis of random media, Int10.1016/0020-7683(70)90102-2 ↗
3. Multiparticle effective field and related methods in micromechanics of composite materials10.1115/1.3097287 ↗
4. A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites10.1016/0022-5096(96)00007-5 ↗
5. On some variational principles in anisotropic and nonhomogeneous elasticity10.1016/0022-5096(62)90004-2 ↗
6. A variational approach to the theory of the elastic behavior of multiphase materials10.1016/0022-5096(63)90060-7 ↗
7. The influence of composition gradient on the effective response of an elastic composite medium
8. Bounds on non-local effective relations for random composites loaded by configuration-dependent body forces10.1016/S0022-5096(99)00099-X ↗
9. Non-local constitutive response of a random laminate subjected to configuration-dependent body forces10.1016/S0022-5096(00)00031-4 ↗
10. Non-local effective relations for fibre-reinforced composites loaded by configuration-dependent body forces10.1016/S0022-5096(01)00075-8 ↗
11. Limitations of the uncoupled, RVE-based micromechanical approach in the analysis of functionally graded composites10.1016/0167-6636(94)00052-2 ↗
12. Micromechanical models for graded composite materials10.1016/S0022-5096(97)00007-0 ↗
13. Micromechanical models for graded composite materials: II. Thermomechanical loading10.1016/S0022-5096(97)00039-2 ↗
14. On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media10.1016/S0022-5096(99)00090-3 ↗
15. Elasticity theory of composites
16. The overall elastic response of composite materials10.1115/1.3167202 ↗