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1.
The structural theory of short-term damageability is generalized to the case of physically nonlinear deformation of an undamaged material. The stochastic elasticity equations for a porous medium whose skeleton deforms nonlinearly are used. The failure criterion for a microvolume of the material is assumed to be in the Huber–Mises form. The microdamage balance equation for a physically nonlinear material is derived. This equation and the macrostress–macrostrain relation for a porous physically nonlinear material constitute a closed-form system describing the coupled processes of physically nonlinear deformation and microdamage. An algorithm is constructed for computing microdamage–macrostrain relationships and plotting deformation curves. Such curves are plotted for the case of uniaxial tension 相似文献
2.
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
3.
Deformation of Particulate Composite with Physically Nonlinear Inclusions and Microdamageable Matrix
The structural theory of short-term damage is generalized to the case where the matrix of a particulate composite has microdamages and the inclusions deform nonlinearly. The basis for this generalization is the stochastic elasticity equations of a porous-matrix particle-reinforced composite. Microvolumes of the matrix meet the Huber-Mises failure criterion. A balance equation for damaged microvolumes is derived. The balance equation and the equations relating macrostresses and macrostrains of a particulate composite with porous matrix and physically nonlinear inclusions 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 the material of inclusions is linearly hardening__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 2, pp. 3–11, February 2005. 相似文献
4.
The structural theory of short-term microdamage is generalized to a laminated composite with a microdamageable matrix and
physically nonlinear reinforcement. The basis for the generalization is the stochastic elasticity equations of a laminated
composite with a porous matrix. Microvolumes in the matrix material meet the Huber-Mises failure criterion. The damaged-microvolume
balance equation for the matrix is derived. This equation and the equations relating macrostresses and macrostrains of a laminated
composite with porous matrix and physically nonlinear reinforcement constitute a closed-form system of equations. This system
describes the coupled processes of physically nonlinear deformation and microdamage occurring in different composite components.
Algorithms for computing the microdamage-macrostrain relationships and deformation diagrams are developed. Uniaxial tension
curves are plotted for a laminated composite with linearly hardening reinforcement
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 11, pp. 47–56, November 2005. 相似文献
5.
The structural theory of short-term microdamage is generalized to a fibrous composite with a microdamageable matrix and physically
nonlinear fibers. The basis for the generalization is the stochastic elasticity equations of a fibrous composite with a porous
matrix. Microvolumes in the matrix material meet the Huber-Mises failure criterion. The damaged-microvolume balance equation
for the matrix is derived. This equation and the equations relating macrostresses and macrostrains of a fibrous composite
with porous matrix and physically nonlinear fibers constitute a closed-form system of equations. This system describes the
coupled processes of physically nonlinear deformation and microdamage occurring in different components of the composite.
Algorithms for computing the microdamage-macrostrain and macrostress-macrostrain relationships are developed. Uniaxial tension
curves are plotted for a fibrous composite with linearly hardening fibers
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 1, pp. 38–47, January 2006. 相似文献
6.
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
7.
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
8.
The structural theory of short-term damage is used to study the coupled processes of deformation and microdamage of a physically
nonlinear material in a combined stress state. The basis for the analysis is the stochastic elasticity equations for a physically
nonlinear porous medium. Damage in a microvolume of the material is assumed to occur in accordance with the Huber-Mises failure
criterion. The balance equation for damaged microvolumes is derived and added to the macrostress-macrostrain relations to
produce a closed-form system of equations. It describes the coupled processes of nonlinear deformation and microdamage of
the porous material. Algorithms are developed for calculating the dependence of microdamage on macrostresses and macrostrains
and plotting stress-strain curves for a homogeneous material under either biaxial normal loading or combined normal and tangential
loading. The plots are analyzed depending on the type of stress state
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 11, pp. 30–39, November 2006. 相似文献
9.
The structural theory of short-term damage is generalized to the case where the undamaged components of a particulate composite
deform nonlinearly under loads that induce a compound stress state. The basis for this generalization is the stochastic elasticity
equations for a particulate composite with porous components whose skeletons deform nonlinearly. Damage in a microvolume of
the material is assumed to occur in accordance with the Huber-Mises failure criterion. Balance equations for damaged microvolume
are derived for the physically nonlinear materials of the components. Together with the macrostress-macrostrain relationship
for a particulate composite with porous nonlinear components, they constitute a closed-form system of equations. This system
describes the coupled processes of physically nonlinear deformation and microdamage. Algorithms for calculating the microdamage-macrostrain
relationship and plotting stress-strain curves are proposed. Such curves are plotted for the case where the composite is subjected
to a combination of normal and tangential loads, and microdamages occur in the linearly hardened matrix and do not in the
linearly elastic inclusions. The stress-strain curves are examined depending on the volume fraction of inclusions and presence
of tangential stresses
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 12, pp. 48–57, December, 2006. 相似文献
10.
I. Yu. Tsvelodub 《Journal of Applied Mechanics and Technical Physics》2003,44(5):716-720
The following two types of physically nonlinear inhomogeneous media are considered: linear-elastic plane with nonlinear-elastic elliptic inclusions and linear-viscous plane with elliptic inclusions from a material that possesses nonlinear-creep properties. The problem is to determine infinitely distant loads that produce a required value of the principal shear stress (in the first case) or principal shear-strain rate (in the second case) for two arbitrary inclusions. Conditions for the existence of solutions of these problems for incompressible media under plane strains are obtained. 相似文献