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1.
The theory of long-term damage of homogeneous materials, which is based on the equations of the mechanics of stochastically
inhomogeneous materials, is generalized to composite materials reinforced with orthotropic ellipsoidal inclusions. The microdamage
of the composite components is modeled by randomly dispersed micropores. The failure criterion for a microvolume is characterized
by its stress-rupture strength. It is determined by the dependence of the time to brittle failure on the difference between
the equivalent stress and its limit, which is the tensile strength, according to the Huber–Mises criterion, and assumed to
be a random function of coordinates. Given macrostresses or macrostrains, an equation of porosity balance in the composite
components at an arbitrary time is formulated. The time dependence of microdamage and macrostresses or macrostrains is established
in the case of unlimited stress-rupture microstrength described by an exponential power function 相似文献
2.
The theory of long-term damage of homogeneous materials, which is based on the equations of the mechanics of stochastically
inhomogeneous materials, is generalized to discrete-fiber-reinforced composite materials. The microdamage of the composite
components is modeled by randomly dispersed micropores. The failure criterion for a microvolume is characterized by its stress-rupture
strength. It is determined by the dependence of the time to brittle failure on the difference between the equivalent stress
and its limit. Given macrostresses and macrostrains, an equation of damage (porosity) balance in the composite components
at an arbitrary time is formulated. The time dependence of microdamage and macrostresses or macrostrains is established in
the case of stress-rupture microstrength described by an exponential power function
Translated from Prikladnaya Mekhanika, Vol. 45, No. 2, pp. 19–29, February 2009. 相似文献
3.
The theory of long-term damage of homogeneous materials is generalized to particulate composite materials. The damage of the
composite components is modeled by randomly dispersed micropores. The damage criterion for a microvolume is characterized
by its stress-rupture strength. It is determined by the dependence of the time to brittle failure on the difference between
the equivalent stress and its limit, which is the tensile strength, according to the Huber–Mises criterion, and assumed to
be a random function of coordinates. An equation of damage (porosity) balance in the composite components at an arbitrary
time is formulated. Algorithms of calculating the time dependence of microdamage and macrostresses or macrostrains are developed
and relevant curves are plotted in the case of unlimited microdurability
Translated from Prikladnaya Mekhanika, Vol. 44, No. 11, pp. 7–17, November 2008. 相似文献
4.
The theory of long-term damage of homogeneous materials is generalized to particulate composite materials. The damage of the
composite components is modeled by randomly dispersed micropores. The damage criterion for a microvolume is characterized
by its stress-rupture strength. It is determined by the dependence of the time to brittle failure on the difference between
the equivalent stress and its limit, which is the tensile strength, according to the Huber-Mises criterion, and assumed to
be a random function of coordinates. An equation of damage (porosity) balance in the composite components at an arbitrary
time is formulated. Algorithms of calculating the time dependence of microdamage and macrostresses or macrostrains are developed
and corresponding curves are plotted in the case of limited microdurability
Translated from Prikladnaya Mekhanika, Vol. 44, No. 10, pp. 3–12, October 2008. 相似文献
5.
The theory of long-term damage of homogeneous materials is generalized to layered materials. The damage of the components
(layers) is modeled by randomly dispersed micropores. The damage criterion for a microvolume is characterized by its stress-rupture
strength. It is determined by the dependence of the time to brittle failure on the difference between the equivalent stress
and its limit, which is the tensile strength, according to the Huber–Mises criterion, and assumed to be a random function
of coordinates. An equation of damage (porosity) balance in the components at an arbitrary time is formulated. Algorithms
of calculating the time dependence of microdamage and macrostresses or macrostrains are developed and corresponding curves
are plotted in the case of a fractional power microdurability function 相似文献
6.
The theory of long-term damage of homogeneous materials is generalized to layered materials. The damage of the components
is modeled by randomly dispersed micropores. The damage criterion for a microvolume is characterized by its stress-rupture
strength. It is determined by the exponential power dependence of the time to brittle failure on the difference between the
equivalent stress and its limit, which is the tensile strength, according to the Huber–Mises criterion, and assumed to be
a random function of coordinates. An equation of damage (porosity) balance in the components at an arbitrary time is formulated.
Algorithms of calculating the time dependence of microdamage and macrostresses or macrostrains are developed and corresponding
curves are plotted in the case of exponential power microdurability function 相似文献
7.
The studies of mathematical models for the coupled processes of deformation and long-time damage of stochastic composite materials
are systematized. Damage is modeled by stochastically arranged micropores. The damage of a single microvolume is characterized
by its stress-rupture strength determined by the dependence of the time to brittle fracture on the difference between the
equivalent stress and its limit, which is the ultimate strength, according to the Huber–Mises or Schleicher–Nadai criteria,
and assumed to be a random function of coordinates. The equation of damage balance at an arbitrary time and the equations
relating macrostresses and macrostrains constitute a closed system. Algorithms of calculating the time dependence of microdamage
and macrostresses are developed. The effect of temperature and nonlinearity on the curves is studied 相似文献
8.
The theory of long-term damage is generalized to fibrous composites. The damage of the matrix is modeled by randomly dispersed
micropores. The damage criterion for a microvolume is characterized by its stress-rupture strength. It is determined by the
dependence of the time to brittle failure on the difference between the equivalent stress and its limit, which is the ultimate
strength, according to the Huber–von Mises criterion, and assumed to be a random function of coordinates. An equation of damage
(porosity) balance in the matrix at an arbitrary time is formulated. Algorithms of calculating the time dependence of microdamage
and macrostresses or macrostrains are developed and corresponding curves are plotted in the case of stress-rupture microstrength
described by an exponential power function 相似文献
9.
The theory of long-term damage is generalized to unidirectional fibrous composites. The damage of the matrix is modeled by
randomly dispersed micropores. The damage criterion for a microvolume is characterized by its stress-rupture strength. It
is determined by the dependence of the time to brittle failure on the difference between the equivalent stress and its limit,
which is the ultimate strength, according to the Huber–Mises criterion, and assumed to be a random function of coordinates.
An equation of damage (porosity) balance in the matrix at an arbitrary time is formulated. Algorithms of calculating the time
dependence of microdamage and macrostresses or macrostrains are developed and corresponding curves are plotted in the case
of stress-rupture microstrength described by a fractional power function 相似文献
10.
A theory of long-term damage of particulate composite materials under thermal load is proposed. The damage of the composite
components is modeled by randomly dispersed micropores. The failure criterion for a single microvolume is determined by its
stress-rupture strength, which, in turn, is determined by the dependence of the time to brittle failure on the difference
between the equivalent stress and its limit, which characterizes the ultimate strength according to the Schleicher–Nadai criterion.
The damage (porosity) balance equation is derived for an arbitrary time, taking the thermal effect into account. Algorithms
for calculating microdamage and macrostresses as functions of time are developed 相似文献
11.
A theory of long-term damage of physically nonlinear homogeneous materials is proposed. Damage is modeled by randomly dispersed
micropores. The failure criterion for a microvolume is characterized by its stress-rupture strength. It is determined by the
dependence of the time to brittle fracture on the difference between the equivalent stress and its limit, which is the ultimate
strength, according to the Huber–Mises criterion, and assumed to be a random function of coordinates. An equation of damage
(porosity) balance in a physically nonlinear material at an arbitrary time is formulated. Algorithms of calculating the time
dependence of microdamage and macrostresses are developed and the corresponding curves are plotted. The effect of the nonlinearity
of the material on its macrodeformation and damage is analyzed 相似文献
12.
The failure criterion for a microvolume is characterized by its stress-rupture strength. It is determined by the dependence
of the time to brittle fracture on the difference between the equivalent stress and its limit, which is the ultimate strength,
according to the Schleicher–Nadai failure criterion, and assumed to be a random function of coordinates. An equation of damage
(porosity) balance in the layers at an arbitrary time is formulated taking into account the thermal component. Algorithms
of calculating the time dependence of microdamage and macrostresses are developed. Corresponding curves are plotted. The effect
of temperature on the deformation and microdamage of the layers is studied 相似文献
13.
A theory of long-term damage of fibrous composites under thermal loading is set up. The damage of the matrix is modeled by
randomly dispersed micropores. The failure criterion for a microvolume is characterized by its stress-rupture strength. It
is determined by the dependence of the time to brittle fracture on the difference between the equivalent stress and its limit,
which is the ultimate strength, according to the Schleicher–Nadai failure criterion, and assumed to be a random function of
coordinates. An equation of damage (porosity) balance in the matrix at an arbitrary time is formulated taking into account
the thermal component. Algorithms of calculating the time dependence of microdamage and macrostresses are developed. Corresponding
curves are plotted. The effect of temperature on the deformation and microdamage of the material is studied 相似文献
14.
A theory of long-term damage of homogeneous materials under thermal load is proposed. The damage of the material is modeled
by randomly dispersed micropores. The failure criterion for a single microvolume is determined by its stress-rupture strength,
which, in turn, is determined by the dependence of the time to brittle failure on the difference between the equivalent stress
and its limit, which characterizes the ultimate strength according to the Schleicher–Nadai criterion. The damage (porosity)
balance equation is derived for an arbitrary time, taking the thermal effect into account. Algorithms for calculating microdamage
and macrostresses as functions of time are developed, and respective curves are plotted. The effect of temperature on the
macrodeformation and damage curves is studied 相似文献
15.
The structural theory of microdamage of homogeneous and composite materials is generalized. The theory is based on the equations
and methods of the mechanics of microinhomogeneous bodies with stochastic structure. A single microdamage is modeled by a
quasispherical pore empty or filled with particles of a damaged material. The accumulation of microdamages under increasing
loading is modeled as increasing porosity. The damage within a single microvolume is governed by the Huber-Mises or Schleicher-Nadai
failure criterion. The ultimate strength is assumed to be a random function of coordinates with power-law or Weibull one-point
distribution. The stress-strain state and effective elastic properties of a composite with microdamaged components are determined
using the stochastic equations of elasticity. The equations of deformation and microdamage and the porosity balance equation
constitute a closed-form system of equations. The solution is found iteratively using conditional moments. The effect of temperature
on the coupled processes of deformation and microdamage is taken into account. Algorithms for plotting the dependences of
microdamage and macrostresses on macrostrains for composites of different structure are developed. The effect of temperature
and strength of damaged material on the stress-strain and microdamage curves is examined
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 6, pp. 3–42, June 2007. 相似文献
16.
A structural theory of short-term microdamage is proposed for a fibrous composite with physically nonlinear matrix and microdamaged
reinforcement. The theory is based on the stochastic elasticity equations of a fibrous composite with porous fibers. Microvolumes
of the fiber material are damaged in accordance with the Huber-Mises failure criterion. A balance equation for damaged microvolumes
in the reinforcement is derived. This equation together with the equations relating macrostresses and macrostrains of a fibrous
composite with porous reinforcement and physically nonlinear matrix constitute a closed-form system. This system describes
the coupled processes of physically nonlinear deformation and microdamage that occur in different components of the composite.
Algorithms are proposed for computing the dependences of microdamage on macrostrains and macrostresses on macrostrains. Uniaxial
tension curves are plotted for a fibrous composite with a linearly hardening matrix
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 3–13, February 2006. 相似文献
17.
The theory of long-term damage is generalized to particulate composite materials with physically nonlinear components. The
damage of the components is modeled by randomly dispersed micropores. The damage criterion for a microvolume is characterized
by its stress-rupture strength. It is determined by the dependence of the time to brittle failure on the difference between
the equivalent stress and its limit, which is the ultimate strength, according to the Huber–Mises criterion, and assumed to
be a random function of coordinates. An equation of damage (porosity) balance in the components at an arbitrary time is formulated.
Algorithms of calculating the time dependence of are developed. The effect on the nonlinearity of the matrix on the damage
and macrodeformation curves is examined 相似文献
18.
The structural theory of short-term damage is generalized to the case where the undamaged components of a granular composite deform nonlinearly. The basis for this generalization is the stochastic elasticity equations for a granular composite with porous components whose skeletons deform nonlinearly. Microvolumes of the composite components meet the Huber–Mises failure criterion. Damaged microvolume balance equations are derived for the physically nonlinear materials of the components. Together with the equations relating macrostresses and macrostrains of a granular composite with porous nonlinear components, they constitute a closed-form system. The system describes the coupled processes of physically nonlinear deformation and microdamage. Algorithms for calculating the microdamage–macrostrain relationship and plotting deformation diagrams are proposed. Uniaxial tension curves are plotted for the case where microdamages occur in the linearly hardened matrix and do not in the inclusions, which are linearly elastic 相似文献
19.
The structural theory of short-term damage is generalized to the case where the undamaged components of an N-component laminar composite deform nonlinearly. The basis for this generalization is the stochastic elasticity equations for an N-component laminar composite with porous components whose skeleton deforms nonlinearly. Microvolumes of the composite components meet the Huber–Mises failure criterion. Damaged microvolume balance equations are derived for the physically nonlinear materials of the composite components. Together with the equations relating macrostresses and macrostrains of the laminar composite with porous nonlinear components, they constitute a closed-form system. This system describes the coupled processes of physically nonlinear deformation and microdamage. For a two-component laminar composite, algorithms for calculating the microdamage–macrostrain relationship and plotting deformation curves are proposed. Uniaxial tension curves are plotted for the case where microdamages occur in the linearly hardening component and do not in the linearly elastic component 相似文献
20.
The structural theory of short-term damage is generalized to the case where the undamaged isotropic matrix of a fibrous composite with transversely isotropic fibers deforms nonlinearly, with microdamages occurring only in the matrix. The basis for this generalization is the stochastic elasticity equations for a fibrous composite with porous matrix whose skeleton deforms nonlinearly. Microvolumes of the matrix meet the Huber-Mises failure criterion. The damaged microvolume balance equation is derived for the physically nonlinear material of the matrix based on the properties of the ultimate microstrength distribution. Together with the equations relating macrostresses and macrostrains of the fibrous composite with porous nonlinear matrix, they constitute a closed-form system. This system describes the coupled processes of physically nonlinear deformation and microdamage. Algorithms for calculating the dependences of macrostresses and microdamages on macrostrains are proposed. Uniaxial tension curves are plotted for a fibrous composite with linearly hardening matrix.Translated from Prikladnaya Mekhanika, Vol. 40, No. 10, pp. 88–97, October 2004. 相似文献