Microstructure damage related to deformation properties of grain composites

Volkova, T. A.; Волков, С. С.

doi:10.1016/j.tafmec.2008.02.004

Cited by 7 publications

(12 citation statements)

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“…Consider a model of a micro-heterogeneous medium [4,5] which contains elements of 2-order infinitesimal. The elements have deterministic mechanical properties on a macrolevel.…”

Section: A Model Of a Micro-heterogeneous Mediummentioning

confidence: 99%

“…The tensor of random elastic modulus (X) can be expressed in terms of random moduli K(X) and G(X) and include the V (volumetric) and the D (deviation) components of the fourth rank unit tensor I [5].…”

Section: A Model Of a Micro-heterogeneous Mediummentioning

confidence: 99%

“…This enables the calculation of macro-properties of the material. The Green's tensor method [4] and the sum of tensor power series [5] are used in this process.…”

Section: A Model Of a Micro-heterogeneous Mediummentioning

confidence: 99%

“…A metal in this case can be considered as a case of stochastic granular composites [4,5]. Microstructure damages develop during the service life of a structure.…”

Section: Introductionmentioning

confidence: 99%

“…The microstructure strength condition is used for this purpose as it includes probability density of the corresponding random variables [6]. The methods for calculating the effective elastic moduli of stochastic composites [4,5] are used to determine the macroscopic material properties that have changed with propagation of the damage.…”

Section: Introductionmentioning

confidence: 99%

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Deformation diagrams of metals with different types of microstructure damage

Волков¹,

Volkova²

2016

AIP Conference Proceedings

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Articles you may be interested inEffect of porosity and the ordered porous structure type on the mechanical properties of aluminum materials AIP Conference Proceedings 1785, 040092 (2016) Abstract. The damage of microstructure elements under load is considered in the form of voids and micro-porosities of varying extents. A two-level model of a material with random deformation and strength properties of microstructure elements is proposed. Methods of probability theory are applied. Moment functions of several distribution laws are used to characterize the micro-porosities. The degradation of material properties during the service life of the structure is taken into account. The relationship between the strains and the stresses becomes nonlinear. The stress-strain curve for a uniaxial tensile loading of a copper specimen is calculated and compared to experimental data. The influence of microstructure properties on the relationship between the strain and the stress of the material is demonstrated.

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“…Consider a model of a micro-heterogeneous medium [4,5] which contains elements of 2-order infinitesimal. The elements have deterministic mechanical properties on a macrolevel.…”

Section: A Model Of a Micro-heterogeneous Mediummentioning

confidence: 99%

Section: A Model Of a Micro-heterogeneous Mediummentioning

confidence: 99%

“…This enables the calculation of macro-properties of the material. The Green's tensor method [4] and the sum of tensor power series [5] are used in this process.…”

Section: A Model Of a Micro-heterogeneous Mediummentioning

confidence: 99%

“…A metal in this case can be considered as a case of stochastic granular composites [4,5]. Microstructure damages develop during the service life of a structure.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations