Pub Date : 1996-04-15DOI: 10.1299/JSMEA1993.39.2_272
H. Azegami, Z. Wu
We present a numerical analysis and results using the traction method for optimizing domains in terms of which linear elastic problems are defined. In this paper we consider the application of the traction method, which was proposed as a solution to domain optimization problems in elliptic boundary value problems. The minimization of the mean compliance is considered. Using the Lagrange multiplier method, we obtain the shape gradient functions for these domain optimization problems from the optimality criteria. In this process we consider variations in the surface force acting on the boundary and variations in the stiffness function and the body force distributed in the domain. We obtain solutions for an infinite plate with a hole and a rectangular plate clamped at both ends.
{"title":"Domain Optimization Analysis in Linear Elastic Problems : Approach Using Traction Method","authors":"H. Azegami, Z. Wu","doi":"10.1299/JSMEA1993.39.2_272","DOIUrl":"https://doi.org/10.1299/JSMEA1993.39.2_272","url":null,"abstract":"We present a numerical analysis and results using the traction method for optimizing domains in terms of which linear elastic problems are defined. In this paper we consider the application of the traction method, which was proposed as a solution to domain optimization problems in elliptic boundary value problems. The minimization of the mean compliance is considered. Using the Lagrange multiplier method, we obtain the shape gradient functions for these domain optimization problems from the optimality criteria. In this process we consider variations in the surface force acting on the boundary and variations in the stiffness function and the body force distributed in the domain. We obtain solutions for an infinite plate with a hole and a rectangular plate clamped at both ends.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":"650 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116481630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1996-04-15DOI: 10.1299/JSMEA1993.39.2_266
J. Takatsubo, Shigeyuki Yamamoto
In this paper, we present a probabilistic theory of propagation of ultrasonic waves in porous ceramics, and propose a new method of ultrasonic inspection for nondestructive pore characterization. The idea is based upon the arrival probability of ultrasonic rays. When incident rays impinge on a pore, they travel around the pore surface and increase the propagation time. We studied this process probabilistically, and found that the propagated waveforms can be expressed as Gaussian functions. The Gaussian waveform is determined by the porosity, pore size and pore shape. This new finding led to the following important laws. (1) The delay time of an ultrasonic wave passing through porous ceramics is proportional to the porosity. (2) The pulse width of the wave increases with increasing mean pore size. (3) The amplitude of the wave decreases with mean pore size. (4) The delay time and pulse width of the wave increase as the mean pore perimeter increases. Formulae for these relationships between ultrasonic and pore characteristics were derived, and an ultrasonic method for evaluating porosity and pore size was proposed.
{"title":"Propagation mechanism of ultrasonic waves in porous ceramics","authors":"J. Takatsubo, Shigeyuki Yamamoto","doi":"10.1299/JSMEA1993.39.2_266","DOIUrl":"https://doi.org/10.1299/JSMEA1993.39.2_266","url":null,"abstract":"In this paper, we present a probabilistic theory of propagation of ultrasonic waves in porous ceramics, and propose a new method of ultrasonic inspection for nondestructive pore characterization. The idea is based upon the arrival probability of ultrasonic rays. When incident rays impinge on a pore, they travel around the pore surface and increase the propagation time. We studied this process probabilistically, and found that the propagated waveforms can be expressed as Gaussian functions. The Gaussian waveform is determined by the porosity, pore size and pore shape. This new finding led to the following important laws. (1) The delay time of an ultrasonic wave passing through porous ceramics is proportional to the porosity. (2) The pulse width of the wave increases with increasing mean pore size. (3) The amplitude of the wave decreases with mean pore size. (4) The delay time and pulse width of the wave increase as the mean pore perimeter increases. Formulae for these relationships between ultrasonic and pore characteristics were derived, and an ultrasonic method for evaluating porosity and pore size was proposed.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":"23 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131521103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1996-04-15DOI: 10.1299/JSMEA1993.39.2_204
A. Tezuka
The discretization of a whole domain is a prerequisite process for Finite Element Method (FEM). Since manual mesh generation is tedious, mesh generation schemes have been studied in recent years. In iterative analyses, the geometry of the domain is drastically changed by each iteration. It is known that mesh regeneration eliminates mesh distortion caused by the geometry change, which greatly affects the convergence of the whole analysis. If error control in the analysis is additionally considered in the mesh regeneration, such a process should be adaptive ; adaptive remeshing is required for a reliable solution. There are many mesh generators available, however, most of them require interaction with the user, and thus cannot be used for adaptive remeshing. In this paper, a sophisticated mesh generation scheme for the adaptive remeshing in the 2D FEM is discussed in detail. After comparison with other schemes, it is concluded that our scheme is superior to the others in terms of flexibility and time complexity.
{"title":"2D mesh generation scheme for adaptive remeshing process in finite element method","authors":"A. Tezuka","doi":"10.1299/JSMEA1993.39.2_204","DOIUrl":"https://doi.org/10.1299/JSMEA1993.39.2_204","url":null,"abstract":"The discretization of a whole domain is a prerequisite process for Finite Element Method (FEM). Since manual mesh generation is tedious, mesh generation schemes have been studied in recent years. In iterative analyses, the geometry of the domain is drastically changed by each iteration. It is known that mesh regeneration eliminates mesh distortion caused by the geometry change, which greatly affects the convergence of the whole analysis. If error control in the analysis is additionally considered in the mesh regeneration, such a process should be adaptive ; adaptive remeshing is required for a reliable solution. There are many mesh generators available, however, most of them require interaction with the user, and thus cannot be used for adaptive remeshing. In this paper, a sophisticated mesh generation scheme for the adaptive remeshing in the 2D FEM is discussed in detail. After comparison with other schemes, it is concluded that our scheme is superior to the others in terms of flexibility and time complexity.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125376332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1996-04-15DOI: 10.1299/JSMEA1993.39.2_216
Kaishin LlU, K. Mimura, S. Tanimura
This paper is concerned with a numerical technique based on the method of characteristics for three-dimensional dynamic thermo-elastic/viscoplastic problems. A constitutive model covering a wide range of strain rates and a wide range of temperatures, proposed by Tanimura, is used. As a numerical example, the three-dimensional stress wave propagation in a thermo-elastic/viscoplastic bar of square cross section subjected to both an impact loading and a thermal shock is presented. The stability and convergence of these numerical solutions are examined by checking the error in the total energy of the system.
{"title":"Three-Dimensional Numerical Analysis of Dynamic Thermo-Elastic/Viscoplastic Problem by the Method of Characteristics","authors":"Kaishin LlU, K. Mimura, S. Tanimura","doi":"10.1299/JSMEA1993.39.2_216","DOIUrl":"https://doi.org/10.1299/JSMEA1993.39.2_216","url":null,"abstract":"This paper is concerned with a numerical technique based on the method of characteristics for three-dimensional dynamic thermo-elastic/viscoplastic problems. A constitutive model covering a wide range of strain rates and a wide range of temperatures, proposed by Tanimura, is used. As a numerical example, the three-dimensional stress wave propagation in a thermo-elastic/viscoplastic bar of square cross section subjected to both an impact loading and a thermal shock is presented. The stability and convergence of these numerical solutions are examined by checking the error in the total energy of the system.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":"176 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131720687","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1996-04-15DOI: 10.1299/JSMEA1993.39.2_186
H. Hasegawa, Kohichi Yoshiie
We discuss the stress concentration problem of an elastic solid with an elastic circular-cylindrical inclusion under tension. A method of solution is developed for the above problem using fundamental solutions of axisymmetric problems of elasticity. The fundamental solutions are defined as solutions for the problem of an elastic solid subjected to axisymmetric body forces acting along a circle. Through numerical calculations, the influence of the length of the elastic circular-cylindrical inclusion on the stress distribution around the inclusion and on the central section is investigated. The influence of the share modulus of elasticity on the stress distribution is also shown.
{"title":"Tension of Elastic Solid with Elastic Circular-Cylindrical Inclusion","authors":"H. Hasegawa, Kohichi Yoshiie","doi":"10.1299/JSMEA1993.39.2_186","DOIUrl":"https://doi.org/10.1299/JSMEA1993.39.2_186","url":null,"abstract":"We discuss the stress concentration problem of an elastic solid with an elastic circular-cylindrical inclusion under tension. A method of solution is developed for the above problem using fundamental solutions of axisymmetric problems of elasticity. The fundamental solutions are defined as solutions for the problem of an elastic solid subjected to axisymmetric body forces acting along a circle. Through numerical calculations, the influence of the length of the elastic circular-cylindrical inclusion on the stress distribution around the inclusion and on the central section is investigated. The influence of the share modulus of elasticity on the stress distribution is also shown.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131608655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1996-01-15DOI: 10.1299/JSMEA1993.39.1_124
H. Takahashi, Hiroyuki Nagaoka, M. Matsunaga, Isao Shiono
The flow stress in tension after torsional prestrain, for example, is higher than that in pure tensional loading. This phenomenon is called cross effect, cross hardening or latent hardening. In the present study, the cross effect is investigated with torsion-tension combined loading tests. It is observed that the cross effect as well as Bauschinger effect is a kind of delayed phenomenon due to a change of the loading direction. We propose a model that unconstrained Orowan loops around pile-ups that were produced during preloading work as forest dislocations against moving dislocations on intersecting slip planes during subsequent loadings. Since the density of forest dislocations determines the flow stress, the free Orowan loops cause the cross effect during cross loading as well as the Bauschinger effect during reverse loading. The above explanation for the cross effect is confirmed by tension tests after forward and reverse torsional prestrains.
{"title":"Cross Effect in Aluminium Tubes Subjected to Torsion and Tension","authors":"H. Takahashi, Hiroyuki Nagaoka, M. Matsunaga, Isao Shiono","doi":"10.1299/JSMEA1993.39.1_124","DOIUrl":"https://doi.org/10.1299/JSMEA1993.39.1_124","url":null,"abstract":"The flow stress in tension after torsional prestrain, for example, is higher than that in pure tensional loading. This phenomenon is called cross effect, cross hardening or latent hardening. In the present study, the cross effect is investigated with torsion-tension combined loading tests. It is observed that the cross effect as well as Bauschinger effect is a kind of delayed phenomenon due to a change of the loading direction. We propose a model that unconstrained Orowan loops around pile-ups that were produced during preloading work as forest dislocations against moving dislocations on intersecting slip planes during subsequent loadings. Since the density of forest dislocations determines the flow stress, the free Orowan loops cause the cross effect during cross loading as well as the Bauschinger effect during reverse loading. The above explanation for the cross effect is confirmed by tension tests after forward and reverse torsional prestrains.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124531292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1996-01-15DOI: 10.1299/JSMEA1993.39.1_142
K. Shiozawa, Toshinobu Tomosaka, Ling Han, Kou Motobayashi
To clarify the effect of flaws in the coating film on fatigue strength, cantilever-type rotating-bending fatigue tests were conducted in air and in saline solution (3.0% NaCl) using specimens of 0.37%C steel with flaws in the coating of titanium nitride (TiN)thin film coated by PVD and CVD methods. Flaws in the coating film on the specimen surface were introduced by the application of 1.1-1.6% static tensile strain before the test. An obvious decrease in fatigue life of the specimen with flawed coating film was observed in both environments, as compared with that of an uncoated specimen and a specimen with unflawed coating film. This behavior was marked for fatigue in air, that is, the decrease of fatigue life was 90-75% in air as opposed to 70-50% in saline solution. Although film thickness was 3-5 μm, the flaw in the film had the same effect as a notch at which cracks initiate on the substrate. Many cracks were induced in the substrate directly under a flaw and coalesced into a large crack at an early stage of fatigue in air. In corrosion fatigue, corrosion pits at which cracks initiate occur on the substrate under a flaw at an early stage of the fatigue process, and the incubation period prior to the formation of pits does not occur.
{"title":"Effect of Flaws in Coating Film on Fatigue Strength of Steel Coated with Titanium Nitride","authors":"K. Shiozawa, Toshinobu Tomosaka, Ling Han, Kou Motobayashi","doi":"10.1299/JSMEA1993.39.1_142","DOIUrl":"https://doi.org/10.1299/JSMEA1993.39.1_142","url":null,"abstract":"To clarify the effect of flaws in the coating film on fatigue strength, cantilever-type rotating-bending fatigue tests were conducted in air and in saline solution (3.0% NaCl) using specimens of 0.37%C steel with flaws in the coating of titanium nitride (TiN)thin film coated by PVD and CVD methods. Flaws in the coating film on the specimen surface were introduced by the application of 1.1-1.6% static tensile strain before the test. An obvious decrease in fatigue life of the specimen with flawed coating film was observed in both environments, as compared with that of an uncoated specimen and a specimen with unflawed coating film. This behavior was marked for fatigue in air, that is, the decrease of fatigue life was 90-75% in air as opposed to 70-50% in saline solution. Although film thickness was 3-5 μm, the flaw in the film had the same effect as a notch at which cracks initiate on the substrate. Many cracks were induced in the substrate directly under a flaw and coalesced into a large crack at an early stage of fatigue in air. In corrosion fatigue, corrosion pits at which cracks initiate occur on the substrate under a flaw at an early stage of the fatigue process, and the incubation period prior to the formation of pits does not occur.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":"93 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115871507","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1996-01-15DOI: 10.1299/JSMEA1993.39.1_34
T. Torii, K. Honda, Akira Matsuba, Mutsumi Tanida
At present, materials with small dimensions such as thin films are often used in electronic packaging. This study concerns a film fatigue testing method, which makes it possible to observe the fatigue crack propagation behavior on a film bonded to a through-hole in a base plate subjected to push-pull cyclic loads. An analytical model for this testing method is presented using a boundary element method, so that the film fatigue fracture can be treated quantitatively in terms of fracture mechanics (K-values and J-integrals). The fatigue crack growth properties were examined for commercial-grade iron films with 100 μm thickness bonded to either a circular or an elliptical hole in the base plate. As a result, using the stress intensity factor based on the measured crack opening displacement, ΔK est , the fatigue crack propagation behavior of the film could be understood in terms of the effective stress intensity factor widely used in the bulk specimen, ΔK eff .
{"title":"Study of Fatigue Crack Propagation Behavior of Film Materials : Fatigue Testing Method and Factors Controlling Fatigue Crack Propagation Rates","authors":"T. Torii, K. Honda, Akira Matsuba, Mutsumi Tanida","doi":"10.1299/JSMEA1993.39.1_34","DOIUrl":"https://doi.org/10.1299/JSMEA1993.39.1_34","url":null,"abstract":"At present, materials with small dimensions such as thin films are often used in electronic packaging. This study concerns a film fatigue testing method, which makes it possible to observe the fatigue crack propagation behavior on a film bonded to a through-hole in a base plate subjected to push-pull cyclic loads. An analytical model for this testing method is presented using a boundary element method, so that the film fatigue fracture can be treated quantitatively in terms of fracture mechanics (K-values and J-integrals). The fatigue crack growth properties were examined for commercial-grade iron films with 100 μm thickness bonded to either a circular or an elliptical hole in the base plate. As a result, using the stress intensity factor based on the measured crack opening displacement, ΔK est , the fatigue crack propagation behavior of the film could be understood in terms of the effective stress intensity factor widely used in the bulk specimen, ΔK eff .","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115655476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1996-01-15DOI: 10.1299/JSMEA1993.39.1_93
Y. Ochiai
Many automatic mesh generation methods for the finite element method (FEM) have been reported. However, for the case of complicated heat generation, a large number of data depending on the position must be added to the mesh data. Other examples, which also need a large number of data depending on the position, are functionally gradient material and biomechanics. In these cases, it is difficult to prepare the distributed data. This paper shows that these problems can be solved by using an improved multiple-reciprocity boundary element method. In this method, contour lines of distribution are used and these distributions are assumed to satisfy the Poisson equation approximately.
{"title":"Generation method of distributed data for FEM analysis","authors":"Y. Ochiai","doi":"10.1299/JSMEA1993.39.1_93","DOIUrl":"https://doi.org/10.1299/JSMEA1993.39.1_93","url":null,"abstract":"Many automatic mesh generation methods for the finite element method (FEM) have been reported. However, for the case of complicated heat generation, a large number of data depending on the position must be added to the mesh data. Other examples, which also need a large number of data depending on the position, are functionally gradient material and biomechanics. In these cases, it is difficult to prepare the distributed data. This paper shows that these problems can be solved by using an improved multiple-reciprocity boundary element method. In this method, contour lines of distribution are used and these distributions are assumed to satisfy the Poisson equation approximately.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":"107 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121127812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1996-01-15DOI: 10.1299/JSMEA1993.39.1_26
T. Goshima, Y. Kamishima
This paper deals with the two-dimensional thermoelastic contact problem of a rolling rigid cylinder of specified shape, which induces effects of friction and heat generation in the contact region, moving with constant velocity in an elastic half-space containing two surface cracks located close to each other. In the present temperature analysis, the speed of the moving heat source is assumed to be much greater than the ratio of the thermal diffusivity to the contact length. The problem is solved using complex-variable techniques and is reduced to a pair of singular integral equations which are solved numerically. Numerical results of stress intensity factors are obtained for the case of two parallel cracks. The variance in interference effects on the stress intensity factors with distance between two cracks, and the effects of the frictional coefficient, the sliding/rolling ratio and the distribution of heat generation on the results are considered.
{"title":"Mutual Interference of Two Surface Cracks in a Semi-Infinite Body Due to Rolling Contact with Frictional Heating by a Rigid Roller","authors":"T. Goshima, Y. Kamishima","doi":"10.1299/JSMEA1993.39.1_26","DOIUrl":"https://doi.org/10.1299/JSMEA1993.39.1_26","url":null,"abstract":"This paper deals with the two-dimensional thermoelastic contact problem of a rolling rigid cylinder of specified shape, which induces effects of friction and heat generation in the contact region, moving with constant velocity in an elastic half-space containing two surface cracks located close to each other. In the present temperature analysis, the speed of the moving heat source is assumed to be much greater than the ratio of the thermal diffusivity to the contact length. The problem is solved using complex-variable techniques and is reduced to a pair of singular integral equations which are solved numerically. Numerical results of stress intensity factors are obtained for the case of two parallel cracks. The variance in interference effects on the stress intensity factors with distance between two cracks, and the effects of the frictional coefficient, the sliding/rolling ratio and the distribution of heat generation on the results are considered.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131249877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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