The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform
Norio Hasebe - One of the best experts on this subject based on the ideXlab platform.
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competition of crack and debonding at the interface of a circular Rigid Inclusion under uniform loading
Engineering Fracture Mechanics, 2014Co-Authors: Norio Hasebe, Yasumiki YamamotoAbstract:Abstract Competition of a crack and a debonding at the interface of a circular Rigid Inclusion in an infinite elastic body is analyzed under uniaxial loading in the x and y directions, respectively, and under biaxial uniform loading. It is investigated how the debonding develops along the interface of the Inclusion from the initial debonding and where the debonding stops and a crack occurs from the tip of debonding. Particularly when there are both possibilities of the debonding development and of the crack occurrence from the tip of the debonding, it can be decided which phenomenon actually occurs. The angles at which the debonding develops and the crack occurs are determined. As the criterion for debonding development and crack occurrence at the debonding tip, strain energy release rates are used. Moreover, the restricting condition is that the normal stress at the interface ahead of the debonding tip is positive and the Mode I stress intensity factor just after crack occurrence is positive. As the loading, the constant load and the gradually increasing load from zero are considered. The stress analysis is carried out as a mixed boundary value problem of plane elasticity. As the stress analysis, the rational mapping function of a sum of fractional expressions and complex stress functions are used and closed form stress functions are derived.
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stress intensity of debonding for a Rigid Inclusion near an angle dislocation
The Open Civil Engineering Journal, 2011Co-Authors: Xianfeng Wang, Feng Xing, Norio HasebeAbstract:The study of debonding is of importance in providing a good understanding of the bonded interfaces of dissimi- lar materials. The problem of debonding of an arbitrarily shaped Rigid Inclusion in an infinite plate with a point dislocation of thin plate bending is investigated in this paper. Herein, the point dislocation is defined with respect to the difference of the plate deflection angle. An analytical solution is obtained by using the complex stress function approach and the rational mapping function technique. In the derivation, the fundamental solutions of the stress boundary value problem are taken as the principal parts of the corresponding stress functions, and through analytical continuation, the problem of obtaining the complementary stress function is reduced to a Riemann-Hilbert problem. Without loss of generality, numerical results are calculated for a square Rigid Inclusion with a debonding. It is noted that the stress components are singular at the dislocation point, and a stress concentration can be found in the vicinity of the Inclusion corner. We also obtain the stress intensity of a debonding in terms of the stress functions. It can be found that when a debonding starts from a corner of the Inclusion and extends to another corner progressively, the stress intensity of the debonding increases monotonously; once the debonding extends over the corner points, the value of the stress intensity of the debonding gradually decreases. The relationships between the stress intensity of the debonding and the direction and position of the dislocation are also presented in this paper.
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anti plane shear stress problem of two bonded dissimilar half spaces with an elliptical hole or Rigid Inclusion on the interface
Acta Mechanica, 2009Co-Authors: Norio Hasebe, Leon M KeerAbstract:The problem of anti-plane shear stress of two bonded dissimilar half spaces with an elliptical hole or a Rigid Inclusion at the interface and having interfacial cracks is presented. Uniform anti-plane shear stresses and the stress free or zero displacement boundary conditions on the elliptical hole are considered. The two cases are reduced to Riemann–Hilbert problems and closed form solutions are obtained by use of the complex stress function and the conformal mapping approaches. Stress distributions, as well as stress intensity factor, are shown. When the elliptical hole collapses, the known solutions of the interfacial crack and thin Rigid fiber can be obtained. If the coordinates in the Plemelj function are changed, a debonding length can be determined.
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interaction between a Rigid Inclusion and a line crack under uniform heat flux
International Journal of Solids and Structures, 2007Co-Authors: Norio Hasebe, Xianfeng Wang, Takahiro Saito, Wei ShengAbstract:Abstract The thermoelastic displacement boundary value problem for a Rigid Inclusion interacting with a line crack in an infinite plane subjected to a uniform heat flux is studied, in which the Rigid body rotation of the Inclusion is considered. To solve the prescribed problem, we use the principle of superposition to decompose it into two groups of problems, which are further reduced to several basic subproblems including Green’s functions of edge dislocation and heat source couple, as well as the problem of a plane containing the Inclusion under uniform heat flux and the problem of the Inclusion subjected to a small rotation. The problems are solved using the complex variable method along with the rational mapping function technique. The variations of the stress intensity factors at the crack tips and the Rigid body rotation angles with various crack lengths and heat flux angles are shown. The effects of the Inclusion shape and size are also investigated.
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green s functions for a bi material problem with interfacial elliptical Rigid Inclusion and applications to crack and thin Rigid line problems
International Journal of Solids and Structures, 2005Co-Authors: P B N Prasad, Norio Hasebe, Xianfeng Wang, Y ShiraiAbstract:Abstract The Green’s functions for a point force and dislocation interacting with interfacial elliptical Rigid Inclusion in a bonded bi-material system are obtained by applying complex variable method and conformal mapping technique. The problem of an internal crack or thin Rigid line interacting with the interfacial Inclusion is then examined. For mapping the half plane with a semi-elliptic notch a rational mapping function is used. This helps in evaluating certain contour integrals quite easily. The Green’s function solutions are then used to simulate internal cracks or thin Rigid lines to study their behavior in the presence of interfacial Inclusion. Some interesting observations pertaining to the interaction between Rigid Inclusion and crack as well as between Rigid Inclusion and thin Rigid line are discussed. In particular, stress intensity factors (SIF) at the tips of internal crack or stress singularity coefficients (SSC) at the tips of thin Rigid line exhibit markedly different behavior depending on loading direction and distance between interfacial Inclusion and crack (thin Rigid line).
Franco M. Francisca - One of the best experts on this subject based on the ideXlab platform.
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shear wave propagation in residual soil Rigid Inclusion mixtures
Powder Technology, 2019Co-Authors: Gustavo Orlando Bogado, Franco M. FranciscaAbstract:Abstract Residual and tropical soils are particulate materials with a wide range of particle sizes. Usually these geomaterials have a fine particle matrix containing dispersed Rigid Inclusions that affect their mechanical behavior. This paper presents experimental results showing the influence of Rigid Inclusions on the shear wave velocity (Vs, or S-wave velocity) and small strain shear modulus (Gmax) of a residual soil. Load tests under zero lateral displacement were performed with simultaneous measurements of Vs in mixtures of a residual soil with different amounts of steel spherical Inclusions. The results show that specimens with a volume fraction of Rigid Inclusion equal to 70% have a Vs up to 250% higher than the same soil without Inclusions when tested at close-to-zero effective vertical stress. This increase reduces to 150% when the effective vertical stress is over 400 kPa. Also, increasing the effective stress applied from 0 to 400 kPa raises Vs 200% and 350% for high and low volume fractions of Rigid Inclusions, respectively. The results enabled the influence of both Inclusion volume and effective stress on the Gmax of residual soils to be quantified.
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Shear wave propagation in residual soil–Rigid Inclusion mixtures
Powder Technology, 2019Co-Authors: Gustavo Orlando Bogado, Franco M. FranciscaAbstract:Abstract Residual and tropical soils are particulate materials with a wide range of particle sizes. Usually these geomaterials have a fine particle matrix containing dispersed Rigid Inclusions that affect their mechanical behavior. This paper presents experimental results showing the influence of Rigid Inclusions on the shear wave velocity (Vs, or S-wave velocity) and small strain shear modulus (Gmax) of a residual soil. Load tests under zero lateral displacement were performed with simultaneous measurements of Vs in mixtures of a residual soil with different amounts of steel spherical Inclusions. The results show that specimens with a volume fraction of Rigid Inclusion equal to 70% have a Vs up to 250% higher than the same soil without Inclusions when tested at close-to-zero effective vertical stress. This increase reduces to 150% when the effective vertical stress is over 400 kPa. Also, increasing the effective stress applied from 0 to 400 kPa raises Vs 200% and 350% for high and low volume fractions of Rigid Inclusions, respectively. The results enabled the influence of both Inclusion volume and effective stress on the Gmax of residual soils to be quantified.
Gustavo Orlando Bogado - One of the best experts on this subject based on the ideXlab platform.
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shear wave propagation in residual soil Rigid Inclusion mixtures
Powder Technology, 2019Co-Authors: Gustavo Orlando Bogado, Franco M. FranciscaAbstract:Abstract Residual and tropical soils are particulate materials with a wide range of particle sizes. Usually these geomaterials have a fine particle matrix containing dispersed Rigid Inclusions that affect their mechanical behavior. This paper presents experimental results showing the influence of Rigid Inclusions on the shear wave velocity (Vs, or S-wave velocity) and small strain shear modulus (Gmax) of a residual soil. Load tests under zero lateral displacement were performed with simultaneous measurements of Vs in mixtures of a residual soil with different amounts of steel spherical Inclusions. The results show that specimens with a volume fraction of Rigid Inclusion equal to 70% have a Vs up to 250% higher than the same soil without Inclusions when tested at close-to-zero effective vertical stress. This increase reduces to 150% when the effective vertical stress is over 400 kPa. Also, increasing the effective stress applied from 0 to 400 kPa raises Vs 200% and 350% for high and low volume fractions of Rigid Inclusions, respectively. The results enabled the influence of both Inclusion volume and effective stress on the Gmax of residual soils to be quantified.
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Shear wave propagation in residual soil–Rigid Inclusion mixtures
Powder Technology, 2019Co-Authors: Gustavo Orlando Bogado, Franco M. FranciscaAbstract:Abstract Residual and tropical soils are particulate materials with a wide range of particle sizes. Usually these geomaterials have a fine particle matrix containing dispersed Rigid Inclusions that affect their mechanical behavior. This paper presents experimental results showing the influence of Rigid Inclusions on the shear wave velocity (Vs, or S-wave velocity) and small strain shear modulus (Gmax) of a residual soil. Load tests under zero lateral displacement were performed with simultaneous measurements of Vs in mixtures of a residual soil with different amounts of steel spherical Inclusions. The results show that specimens with a volume fraction of Rigid Inclusion equal to 70% have a Vs up to 250% higher than the same soil without Inclusions when tested at close-to-zero effective vertical stress. This increase reduces to 150% when the effective vertical stress is over 400 kPa. Also, increasing the effective stress applied from 0 to 400 kPa raises Vs 200% and 350% for high and low volume fractions of Rigid Inclusions, respectively. The results enabled the influence of both Inclusion volume and effective stress on the Gmax of residual soils to be quantified.
Xianfeng Wang - One of the best experts on this subject based on the ideXlab platform.
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stress intensity of debonding for a Rigid Inclusion near an angle dislocation
The Open Civil Engineering Journal, 2011Co-Authors: Xianfeng Wang, Feng Xing, Norio HasebeAbstract:The study of debonding is of importance in providing a good understanding of the bonded interfaces of dissimi- lar materials. The problem of debonding of an arbitrarily shaped Rigid Inclusion in an infinite plate with a point dislocation of thin plate bending is investigated in this paper. Herein, the point dislocation is defined with respect to the difference of the plate deflection angle. An analytical solution is obtained by using the complex stress function approach and the rational mapping function technique. In the derivation, the fundamental solutions of the stress boundary value problem are taken as the principal parts of the corresponding stress functions, and through analytical continuation, the problem of obtaining the complementary stress function is reduced to a Riemann-Hilbert problem. Without loss of generality, numerical results are calculated for a square Rigid Inclusion with a debonding. It is noted that the stress components are singular at the dislocation point, and a stress concentration can be found in the vicinity of the Inclusion corner. We also obtain the stress intensity of a debonding in terms of the stress functions. It can be found that when a debonding starts from a corner of the Inclusion and extends to another corner progressively, the stress intensity of the debonding increases monotonously; once the debonding extends over the corner points, the value of the stress intensity of the debonding gradually decreases. The relationships between the stress intensity of the debonding and the direction and position of the dislocation are also presented in this paper.
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interaction between a Rigid Inclusion and a line crack under uniform heat flux
International Journal of Solids and Structures, 2007Co-Authors: Norio Hasebe, Xianfeng Wang, Takahiro Saito, Wei ShengAbstract:Abstract The thermoelastic displacement boundary value problem for a Rigid Inclusion interacting with a line crack in an infinite plane subjected to a uniform heat flux is studied, in which the Rigid body rotation of the Inclusion is considered. To solve the prescribed problem, we use the principle of superposition to decompose it into two groups of problems, which are further reduced to several basic subproblems including Green’s functions of edge dislocation and heat source couple, as well as the problem of a plane containing the Inclusion under uniform heat flux and the problem of the Inclusion subjected to a small rotation. The problems are solved using the complex variable method along with the rational mapping function technique. The variations of the stress intensity factors at the crack tips and the Rigid body rotation angles with various crack lengths and heat flux angles are shown. The effects of the Inclusion shape and size are also investigated.
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green s functions for a bi material problem with interfacial elliptical Rigid Inclusion and applications to crack and thin Rigid line problems
International Journal of Solids and Structures, 2005Co-Authors: P B N Prasad, Norio Hasebe, Xianfeng Wang, Y ShiraiAbstract:Abstract The Green’s functions for a point force and dislocation interacting with interfacial elliptical Rigid Inclusion in a bonded bi-material system are obtained by applying complex variable method and conformal mapping technique. The problem of an internal crack or thin Rigid line interacting with the interfacial Inclusion is then examined. For mapping the half plane with a semi-elliptic notch a rational mapping function is used. This helps in evaluating certain contour integrals quite easily. The Green’s function solutions are then used to simulate internal cracks or thin Rigid lines to study their behavior in the presence of interfacial Inclusion. Some interesting observations pertaining to the interaction between Rigid Inclusion and crack as well as between Rigid Inclusion and thin Rigid line are discussed. In particular, stress intensity factors (SIF) at the tips of internal crack or stress singularity coefficients (SSC) at the tips of thin Rigid line exhibit markedly different behavior depending on loading direction and distance between interfacial Inclusion and crack (thin Rigid line).
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Interaction of Internal Crack with Interfacial Rigid Inclusion
2004Co-Authors: P B N Prasad, Xianfeng WangAbstract:The problem of a Rigid elliptical Inclusion at the interface of two bonded isotropic elastic half planes interacting with an internal crack is examined. The problem is tackled by first obtaining the Green's function of a point dislocation located in one of the bonded half planes and interacting with an interfacial Rigid elliptical Inclusion. Internal crack is then simulated by the method of distributed dislocations and stress intensity factors at internal crack tips are obtained by solving the resulting singular integral equations numerically. Complex variable method in conjunction with conformal mapping technique is employed to derive the complex stress potentials for the point dislocation problem. The mapping of half-plane with an elliptical notch is carried out by means of rational mapping technique. The influences of Inclusion shape and its distance from the internal crack on the stress intensity factors (SIF) of the internal crack tips are discussed. Results show decreasing SIF at internal crack tips as its distance from the interfacial Inclusion decreases. This trend is seen for all Inclusion shapes studied when the applied load is normal to the internal crack. On the other hand, when loading is parallel to the internal crack, positive SIF at the internal crack tips are observed for certain combinations of distance between the internal crack and interfacial Inclusion, and crack size. This is unlike a crack ahead of a cavity where load parallel to the crack line has no contribution to the SIF.
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Bending of a thin plate containing a Rigid Inclusion and a crack
Engineering Analysis with Boundary Elements, 2000Co-Authors: Xianfeng Wang, Norio HasebeAbstract:The bending of a thin infinite plate with a line crack and an arbitrarily shaped Rigid Inclusion is analyzed. The superposition principle is used to reduce the original formulation to two subsidiary problems. A distribution of dislocation is assumed along the crack line. The solution is obtained in an integral form by using the Green function of a point dislocation. The stress functions for both subsidiary problems are obtained by employing the rational mapping function technique. The stress intensity factors are obtained in terms of the dislocation density function. Numerical results are demonstrated for the plate containing a square Rigid Inclusion and a line crack.
Wei Sheng - One of the best experts on this subject based on the ideXlab platform.
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interaction between a Rigid Inclusion and a line crack under uniform heat flux
International Journal of Solids and Structures, 2007Co-Authors: Norio Hasebe, Xianfeng Wang, Takahiro Saito, Wei ShengAbstract:Abstract The thermoelastic displacement boundary value problem for a Rigid Inclusion interacting with a line crack in an infinite plane subjected to a uniform heat flux is studied, in which the Rigid body rotation of the Inclusion is considered. To solve the prescribed problem, we use the principle of superposition to decompose it into two groups of problems, which are further reduced to several basic subproblems including Green’s functions of edge dislocation and heat source couple, as well as the problem of a plane containing the Inclusion under uniform heat flux and the problem of the Inclusion subjected to a small rotation. The problems are solved using the complex variable method along with the rational mapping function technique. The variations of the stress intensity factors at the crack tips and the Rigid body rotation angles with various crack lengths and heat flux angles are shown. The effects of the Inclusion shape and size are also investigated.
