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Papers by Boris P . Maslov

Research paper thumbnail of Stress-strain state in the matrix of stochastically reinforced composites

Mechanics of Composite Materials

Research paper thumbnail of Nonlinear deformation and strength of stochastic composites with a damaged matrix

Mechanics of Composite Materials

ABSTRACT In the present study, the authors propose a method of calculating the stiffness and stre... more ABSTRACT In the present study, the authors propose a method of calculating the stiffness and strength characteristics of stochastic composites with a nonlinear matrix weakened by spheroidal pores or disk-shaped cracks. They will examine three-component composites reinforced by continuous anisotropic fibers and randomly oriented short fibers of spheroidal form. They use a model which makes it possible to consider the closeness of the reinforcing elements to one another for different types of reinforcement. A microstructural analysis of the stresses in the composites yields a macroscopic criterion of strength for a three-component composite with a nonlinear matrix. The procedures that are developed are realized in the form of an application package which is used as a component part of an automated design system for structures made of composites. Let the composite consist of a matrix enforced by randomly oriented inclusions of spherical form. The authors assume that the type of reinforcement is such as to ensure that the elastic properties are statistically uniform within a certain representative volume V. Thus, given sufficiently smoothly external loads, they will make use of the property of ergodicity of the random tensor fields of the elastic moduli, stresses, and strains.

Research paper thumbnail of Effective characteristics of materials reinforced three-dimensionally with short fibers

Mechanics of Composite Materials

Research paper thumbnail of Nonlinear Overall Viscoelastic Properties of the Random Multicomponent Media

This work is concerned with the prediction of the effective or overall response of a random multi... more This work is concerned with the prediction of the effective or overall response of a random multi-component media with nonlinear visco-elastic constituents. The continuum considered here is suggested to be subjected to finite deformation. Kirchhoff stress tensor and deformation gradients are used as field variables in a fixed reference state. Nonlinear problem is investigated in second order approximation theory when the gradient deformation terms higher than second order are neglected. Five constant elastic potential in elastic problem and five time functionals in visco-elastic one are used to build overall constitutive relations. Theoretical determination of the overall properties of inhomogeneous media is a problem of a great importance. This work is concerned with the prediction of the effective or overall response of a random multi-component media with nonlinear visco-elastic constituents. The elastic properties of inhomogeneous structures have been studied intensively during l...

Research paper thumbnail of Micro-mechanics of fiber reinforced bounded and unbounded solids: effective local and non-local thermo-elastic properties, stress concentration factors, and edge effect

Initiation of failure in a composite specimen can be related to the non-linear elastic stress fie... more Initiation of failure in a composite specimen can be related to the non-linear elastic stress field present in constituents. More often one examines the distribution of extreme values for the stress in the elastic inclusion's coatings. Inclusion-reinforced materials are the objects of the investigations of the P-1 10 project. The early analysis work on the damage of the composites has used linear elastic mechanics so it has been less successful in applications than those to metals. So the new approaches have been created recently in composite micro-mechanics. One of these is mathematical model of multi-particle effective field method (MEFM) that has reached a level for which many practical significant problems can be solved.

Research paper thumbnail of Prediction of the effective properties of piezoactive composite materials

The theoretical fundamentals of the prediction of the effective properties of piezoactive (piezoe... more The theoretical fundamentals of the prediction of the effective properties of piezoactive (piezoelectric and piezomagnetic) composite materials with a stochastic structure are presented. Attention is given to layered, fiber, and discrete-fiber composites as well as porous materials. Effective constants and electromechanical and magnetomechanical coupling coefficients are determined for various structures, and their dependence on the physicomechanical properties of the components and internal geometry of the composites is discussed. The results obtained are generalized to the case of composite and porous materials with thermopiezoactive properties.

Research paper thumbnail of Statistical mechanics and effective properties of materials

Research paper thumbnail of Thermal-stress concentration near inclusions in viscoelastic random composites

Journal of Engineering Mathematics, 2008

The determination of thermal-stress concentrations near inclusions in viscoelastic random composi... more The determination of thermal-stress concentrations near inclusions in viscoelastic random composites is concerned with the prediction of the overall response of random nonlinear viscoelastic multi-component media. The continuum considered here is assumed to be subjected to a finite deformation. First Piola's stress tensor and deformation gradient are used as conjugate field variables in a fixed reference state. A nonlinear problem is investigated in a second-order approximation theory when the gradient deformation terms higher than second order are neglected. A convex potential function in a thermo-elastic problem and time functionals in a viscoelastic one are used to construct overall constitutive relations. The technique of surface operators developed by R. Hill and others is used to determine stress concentrations near inclusions for nonlinear matrix creep.

Research paper thumbnail of Stress concentration in incompressible multicomponent materials

International Applied Mechanics, 2000

Research paper thumbnail of Physical constants of a nonlinear microstructural theory of two-phase elastic mixtures for several granular structural composites

International Applied Mechanics, 1996

Research paper thumbnail of Elastic properties of materials reinforced with anisotropic short fibers

Soviet Applied Mechanics, 1978

Research paper thumbnail of Effective constants in the theory of geometrically nonlinear solids

Soviet Applied Mechanics, 1981

Research paper thumbnail of Dynamic properties of composite materials of stochastic structure

Soviet Applied Mechanics, 1978

Research paper thumbnail of Elastic properties of obliquely wound composites with a damaged matrix

Soviet Applied Mechanics, 1989

Research paper thumbnail of Prediction of electromechanical properties of inhomogeneous piezoelectrics

Soviet Applied Mechanics, 1979

Research paper thumbnail of Stress concentration in an isotropic matrix bonded by anisotropic fibers

Soviet Applied Mechanics, 1987

Research paper thumbnail of Predicting the strength of three-component fiber composites

Soviet Applied Mechanics, 1990

ABSTRACT Problems of prediction of the reduced elastic constants and strength characteristics of ... more ABSTRACT Problems of prediction of the reduced elastic constants and strength characteristics of fibrous composites reinforced by anisotropic unidirected fibres and chaotically oriented isotropic spheroidal inclusions have been considered. Two representative volumes of reduction are introduced: a volume containing the matrix with misoriented inclusions, and the macroscopic volume of the composite. A macroscopic criterion for strength of a three-component composite material is obtained on the basis of results obtained by microstructural analysis of stresses in the components.

Research paper thumbnail of Stresses and strains on the surface of anisotropic inclusions in stochastic composites

Soviet Applied Mechanics, 1990

Research paper thumbnail of Effective constants of piezoactive composites of stochastic structure

Soviet Applied Mechanics, 1987

Therefore, utilization of extremal and variational principles in combination with linearization o... more Therefore, utilization of extremal and variational principles in combination with linearization of the flow surface permits construction of a class of approximate analytic solutions of one-and two-dimensional quasistatic problems on the plane stress state of plates and membrane shells with the change in thickness taking into account duration deformation. Application of piecewise-linear approximations of potential surfaces affords the possibility of taking into account inertial terms also in the equations of motion and rheological properties of the materials. The results of the research can be applied in solving a broad class of technological molding problems for sheet material. LITERATURE CITED i. V.O. Geogdzhaev, "Drawing of thin-walled anisotropic tubes through a conical matrix,"

Research paper thumbnail of Nonlinear creep of stochastically inhomogeneous media

Soviet Applied Mechanics, 1974

Research paper thumbnail of Stress-strain state in the matrix of stochastically reinforced composites

Mechanics of Composite Materials

Research paper thumbnail of Nonlinear deformation and strength of stochastic composites with a damaged matrix

Mechanics of Composite Materials

ABSTRACT In the present study, the authors propose a method of calculating the stiffness and stre... more ABSTRACT In the present study, the authors propose a method of calculating the stiffness and strength characteristics of stochastic composites with a nonlinear matrix weakened by spheroidal pores or disk-shaped cracks. They will examine three-component composites reinforced by continuous anisotropic fibers and randomly oriented short fibers of spheroidal form. They use a model which makes it possible to consider the closeness of the reinforcing elements to one another for different types of reinforcement. A microstructural analysis of the stresses in the composites yields a macroscopic criterion of strength for a three-component composite with a nonlinear matrix. The procedures that are developed are realized in the form of an application package which is used as a component part of an automated design system for structures made of composites. Let the composite consist of a matrix enforced by randomly oriented inclusions of spherical form. The authors assume that the type of reinforcement is such as to ensure that the elastic properties are statistically uniform within a certain representative volume V. Thus, given sufficiently smoothly external loads, they will make use of the property of ergodicity of the random tensor fields of the elastic moduli, stresses, and strains.

Research paper thumbnail of Effective characteristics of materials reinforced three-dimensionally with short fibers

Mechanics of Composite Materials

Research paper thumbnail of Nonlinear Overall Viscoelastic Properties of the Random Multicomponent Media

This work is concerned with the prediction of the effective or overall response of a random multi... more This work is concerned with the prediction of the effective or overall response of a random multi-component media with nonlinear visco-elastic constituents. The continuum considered here is suggested to be subjected to finite deformation. Kirchhoff stress tensor and deformation gradients are used as field variables in a fixed reference state. Nonlinear problem is investigated in second order approximation theory when the gradient deformation terms higher than second order are neglected. Five constant elastic potential in elastic problem and five time functionals in visco-elastic one are used to build overall constitutive relations. Theoretical determination of the overall properties of inhomogeneous media is a problem of a great importance. This work is concerned with the prediction of the effective or overall response of a random multi-component media with nonlinear visco-elastic constituents. The elastic properties of inhomogeneous structures have been studied intensively during l...

Research paper thumbnail of Micro-mechanics of fiber reinforced bounded and unbounded solids: effective local and non-local thermo-elastic properties, stress concentration factors, and edge effect

Initiation of failure in a composite specimen can be related to the non-linear elastic stress fie... more Initiation of failure in a composite specimen can be related to the non-linear elastic stress field present in constituents. More often one examines the distribution of extreme values for the stress in the elastic inclusion's coatings. Inclusion-reinforced materials are the objects of the investigations of the P-1 10 project. The early analysis work on the damage of the composites has used linear elastic mechanics so it has been less successful in applications than those to metals. So the new approaches have been created recently in composite micro-mechanics. One of these is mathematical model of multi-particle effective field method (MEFM) that has reached a level for which many practical significant problems can be solved.

Research paper thumbnail of Prediction of the effective properties of piezoactive composite materials

The theoretical fundamentals of the prediction of the effective properties of piezoactive (piezoe... more The theoretical fundamentals of the prediction of the effective properties of piezoactive (piezoelectric and piezomagnetic) composite materials with a stochastic structure are presented. Attention is given to layered, fiber, and discrete-fiber composites as well as porous materials. Effective constants and electromechanical and magnetomechanical coupling coefficients are determined for various structures, and their dependence on the physicomechanical properties of the components and internal geometry of the composites is discussed. The results obtained are generalized to the case of composite and porous materials with thermopiezoactive properties.

Research paper thumbnail of Statistical mechanics and effective properties of materials

Research paper thumbnail of Thermal-stress concentration near inclusions in viscoelastic random composites

Journal of Engineering Mathematics, 2008

The determination of thermal-stress concentrations near inclusions in viscoelastic random composi... more The determination of thermal-stress concentrations near inclusions in viscoelastic random composites is concerned with the prediction of the overall response of random nonlinear viscoelastic multi-component media. The continuum considered here is assumed to be subjected to a finite deformation. First Piola's stress tensor and deformation gradient are used as conjugate field variables in a fixed reference state. A nonlinear problem is investigated in a second-order approximation theory when the gradient deformation terms higher than second order are neglected. A convex potential function in a thermo-elastic problem and time functionals in a viscoelastic one are used to construct overall constitutive relations. The technique of surface operators developed by R. Hill and others is used to determine stress concentrations near inclusions for nonlinear matrix creep.

Research paper thumbnail of Stress concentration in incompressible multicomponent materials

International Applied Mechanics, 2000

Research paper thumbnail of Physical constants of a nonlinear microstructural theory of two-phase elastic mixtures for several granular structural composites

International Applied Mechanics, 1996

Research paper thumbnail of Elastic properties of materials reinforced with anisotropic short fibers

Soviet Applied Mechanics, 1978

Research paper thumbnail of Effective constants in the theory of geometrically nonlinear solids

Soviet Applied Mechanics, 1981

Research paper thumbnail of Dynamic properties of composite materials of stochastic structure

Soviet Applied Mechanics, 1978

Research paper thumbnail of Elastic properties of obliquely wound composites with a damaged matrix

Soviet Applied Mechanics, 1989

Research paper thumbnail of Prediction of electromechanical properties of inhomogeneous piezoelectrics

Soviet Applied Mechanics, 1979

Research paper thumbnail of Stress concentration in an isotropic matrix bonded by anisotropic fibers

Soviet Applied Mechanics, 1987

Research paper thumbnail of Predicting the strength of three-component fiber composites

Soviet Applied Mechanics, 1990

ABSTRACT Problems of prediction of the reduced elastic constants and strength characteristics of ... more ABSTRACT Problems of prediction of the reduced elastic constants and strength characteristics of fibrous composites reinforced by anisotropic unidirected fibres and chaotically oriented isotropic spheroidal inclusions have been considered. Two representative volumes of reduction are introduced: a volume containing the matrix with misoriented inclusions, and the macroscopic volume of the composite. A macroscopic criterion for strength of a three-component composite material is obtained on the basis of results obtained by microstructural analysis of stresses in the components.

Research paper thumbnail of Stresses and strains on the surface of anisotropic inclusions in stochastic composites

Soviet Applied Mechanics, 1990

Research paper thumbnail of Effective constants of piezoactive composites of stochastic structure

Soviet Applied Mechanics, 1987

Therefore, utilization of extremal and variational principles in combination with linearization o... more Therefore, utilization of extremal and variational principles in combination with linearization of the flow surface permits construction of a class of approximate analytic solutions of one-and two-dimensional quasistatic problems on the plane stress state of plates and membrane shells with the change in thickness taking into account duration deformation. Application of piecewise-linear approximations of potential surfaces affords the possibility of taking into account inertial terms also in the equations of motion and rheological properties of the materials. The results of the research can be applied in solving a broad class of technological molding problems for sheet material. LITERATURE CITED i. V.O. Geogdzhaev, "Drawing of thin-walled anisotropic tubes through a conical matrix,"

Research paper thumbnail of Nonlinear creep of stochastically inhomogeneous media

Soviet Applied Mechanics, 1974