Pub Date : 1997-04-15DOI: 10.1299/JSMEA1993.40.2_169
M. Goya, Koichi Ito
We previously proposed a constitutive expression of plastic deformation which can incorporate the directional dependence of the plastic strain increment e P on the stress increment σ. The expression was given in terms of two transition parameters μ(α) and β(α) which denote the magnitude and the direction angle of the plastic increment, where a denotes the direction angle of the stress increment measured from a particular direction, termed natural direction, in which the direction of the stress increment coincides with that of the plastic strain increment. The expression can be utilized once we obtain the parameters μ(α) and β(α) through experimentation on industrial materials and/or theoretical studies such as polycrystalline model analyses. In this report, a computer code for a finite-element polycrystalline model is developed and used for the investigation of the variations of the two constitutive parameters μ(α) and β(α).
{"title":"Determination of Constitutive Parameters of Plastic Materials Using a Finite-Element Polycrystalline Model","authors":"M. Goya, Koichi Ito","doi":"10.1299/JSMEA1993.40.2_169","DOIUrl":"https://doi.org/10.1299/JSMEA1993.40.2_169","url":null,"abstract":"We previously proposed a constitutive expression of plastic deformation which can incorporate the directional dependence of the plastic strain increment e P on the stress increment σ. The expression was given in terms of two transition parameters μ(α) and β(α) which denote the magnitude and the direction angle of the plastic increment, where a denotes the direction angle of the stress increment measured from a particular direction, termed natural direction, in which the direction of the stress increment coincides with that of the plastic strain increment. The expression can be utilized once we obtain the parameters μ(α) and β(α) through experimentation on industrial materials and/or theoretical studies such as polycrystalline model analyses. In this report, a computer code for a finite-element polycrystalline model is developed and used for the investigation of the variations of the two constitutive parameters μ(α) and β(α).","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128792664","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 : 1997-01-15DOI: 10.1299/JSMEA1993.40.1_75
Y. Negishi, K. Hirashima
A general higher-order approximation theory for analysis of static and/or dynamic behavior of laminated composite structures with interlayer slip is developed. Theoretical characteristics and validity of the theory are clarified using numerical examples. The theory is formulated by using a modified Hamilton's principle with relaxed displacement continuity requirements, after expanding displacements of each lamina using power series of the thickness coordinate. The independent unknown variables of this theory are the displacement coefficients of each lamina and interlamina stresses. It is shown that the present theory includes so many previous theories, and overcomes the defects of those theories.
{"title":"General Higher-Order Theory for Laminated Composite Structures with Interlayer Slip","authors":"Y. Negishi, K. Hirashima","doi":"10.1299/JSMEA1993.40.1_75","DOIUrl":"https://doi.org/10.1299/JSMEA1993.40.1_75","url":null,"abstract":"A general higher-order approximation theory for analysis of static and/or dynamic behavior of laminated composite structures with interlayer slip is developed. Theoretical characteristics and validity of the theory are clarified using numerical examples. The theory is formulated by using a modified Hamilton's principle with relaxed displacement continuity requirements, after expanding displacements of each lamina using power series of the thickness coordinate. The independent unknown variables of this theory are the displacement coefficients of each lamina and interlamina stresses. It is shown that the present theory includes so many previous theories, and overcomes the defects of those theories.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114572569","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 : 1997-01-15DOI: 10.1299/JSMEA1993.40.1_51
T. Terasaki, T. Akiyama, K. Kuriyama
Experiments on the temperature difference for exfoliation of a three dimensional joint have been performed to investigate crack initiation and the difference between two- and three-dimensional joints (2D and 3D) using specimens made from resin and steel. When the edge angle is less than 90 degrees, a crack initiates at the side; therefore, the temperature difference for exfoliation of the 3D joint equals that for exfoliation of the 2D joint. When the edge angle is greater than or equal to 90 degrees, a crack initiates at the corner and the temperature difference of the 3D joint is slightly less than that of the 2D joint.
{"title":"Temperature Difference for Exfoliation of Three-Dimensional Bonded Joint of Dissimilar Materials","authors":"T. Terasaki, T. Akiyama, K. Kuriyama","doi":"10.1299/JSMEA1993.40.1_51","DOIUrl":"https://doi.org/10.1299/JSMEA1993.40.1_51","url":null,"abstract":"Experiments on the temperature difference for exfoliation of a three dimensional joint have been performed to investigate crack initiation and the difference between two- and three-dimensional joints (2D and 3D) using specimens made from resin and steel. When the edge angle is less than 90 degrees, a crack initiates at the side; therefore, the temperature difference for exfoliation of the 3D joint equals that for exfoliation of the 2D joint. When the edge angle is greater than or equal to 90 degrees, a crack initiates at the corner and the temperature difference of the 3D joint is slightly less than that of the 2D joint.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121404130","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 : 1997-01-15DOI: 10.1299/JSMEA1993.40.1_8
M. Mochizuki, Hayashi Makoto, Masaki Nakagawa, N. Tada, S. Shimizu
We present a new and simplified method of estimating residual stress in welded structures by using inherent strain. The method makes use of elastic analysis by means of the finite element method, and can be used to calculate the welding residual stress in three-dimensional structures. The method can be used to efficiently compute the residual stress remaining in complex welded structures. The inherent strain distribution at a welded joint of a small-diameter pipe penetrating a thick plate can be assumed to be present in a simple distribution, and the residual stress can be calculated by elastic analysis. Inherent strain distributions were inferred from those of welded joints with simple shapes. The estimated residual stress distributions using these inferred inherent strains agree well with the results of strain gauge measurements of a mock-up specimen. The proposed method in this paper can estimate welding residual stress in three-dimensional structures of complicated shapes in a simple way.
{"title":"A Simplified Analysis of Residual Stress at Welded Joints between Plate and Penetrating Pipe","authors":"M. Mochizuki, Hayashi Makoto, Masaki Nakagawa, N. Tada, S. Shimizu","doi":"10.1299/JSMEA1993.40.1_8","DOIUrl":"https://doi.org/10.1299/JSMEA1993.40.1_8","url":null,"abstract":"We present a new and simplified method of estimating residual stress in welded structures by using inherent strain. The method makes use of elastic analysis by means of the finite element method, and can be used to calculate the welding residual stress in three-dimensional structures. The method can be used to efficiently compute the residual stress remaining in complex welded structures. The inherent strain distribution at a welded joint of a small-diameter pipe penetrating a thick plate can be assumed to be present in a simple distribution, and the residual stress can be calculated by elastic analysis. Inherent strain distributions were inferred from those of welded joints with simple shapes. The estimated residual stress distributions using these inferred inherent strains agree well with the results of strain gauge measurements of a mock-up specimen. The proposed method in this paper can estimate welding residual stress in three-dimensional structures of complicated shapes in a simple way.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115092485","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 : 1997-01-15DOI: 10.1299/JSMEA1993.40.1_1
N. Noda, Motoki Tsuru, K. Oda
In this paper stress intensity factors of double and multiple edge cracks in a semi-infinite plate is considered. The problem is considered by solving a system of hypersingular integral equations based on the body force method. First, two edge cracks A and B having different crack lengths and inclination angles are analyzed and the effect of crack B upon crack A is investigated. Then, stress intensity factor(SIF) of crack A is found to be almost constant independent of the wide variation of inclination angle B if the crack tip B is fixed. Second, periodic edge cracks are systematically analyzed with varying the number, distance and angle of cracks. Then the interaction effect is found to appear mostly from the distances of crack tip independent of the angle. Numerical results are also shown when crack parameters are slightly changed from average values in almost equally spaced multiple edge cracks.
{"title":"Stress Intensity Factors of Double and Multiple Edge Cracks","authors":"N. Noda, Motoki Tsuru, K. Oda","doi":"10.1299/JSMEA1993.40.1_1","DOIUrl":"https://doi.org/10.1299/JSMEA1993.40.1_1","url":null,"abstract":"In this paper stress intensity factors of double and multiple edge cracks in a semi-infinite plate is considered. The problem is considered by solving a system of hypersingular integral equations based on the body force method. First, two edge cracks A and B having different crack lengths and inclination angles are analyzed and the effect of crack B upon crack A is investigated. Then, stress intensity factor(SIF) of crack A is found to be almost constant independent of the wide variation of inclination angle B if the crack tip B is fixed. Second, periodic edge cracks are systematically analyzed with varying the number, distance and angle of cracks. Then the interaction effect is found to appear mostly from the distances of crack tip independent of the angle. Numerical results are also shown when crack parameters are slightly changed from average values in almost equally spaced multiple edge cracks.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114487153","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 : 1997-01-15DOI: 10.1299/JSMEA1993.40.1_84
Y. Tanigawa, M. Matsumoto, T. Akai
For a nonhomogeneous medium, both the heat conduction equation and the governing equations of an associated thermoelastic field are nonlinear in general. Therefore, theoretical treatment of these nonlinear equations is very difficult and an exact solution is almost impossible to obtain. By introducing a laminated composite model, we derived a one dimensional temperature solution for a nonhomogeneous plate in a transient state in our previous work. In the present work, making use of this temperature solution, we describe the optimization of material composition to minimize the transient thermal stress. As a numerical example, two nonhomogeneous plates, one composed of zirconium oxide/titanium alloy and the others of alumina/ aluminum alloy, are considered. Then the optimum material composition is determined by calculation. Furthermore, the temperaturedependence of material properties is discussed.
{"title":"Optimization of Material Composition to Minimize Thermal Stresses in Nonhomogeneous Plate Subjected to Unsteady Heat Supply","authors":"Y. Tanigawa, M. Matsumoto, T. Akai","doi":"10.1299/JSMEA1993.40.1_84","DOIUrl":"https://doi.org/10.1299/JSMEA1993.40.1_84","url":null,"abstract":"For a nonhomogeneous medium, both the heat conduction equation and the governing equations of an associated thermoelastic field are nonlinear in general. Therefore, theoretical treatment of these nonlinear equations is very difficult and an exact solution is almost impossible to obtain. By introducing a laminated composite model, we derived a one dimensional temperature solution for a nonhomogeneous plate in a transient state in our previous work. In the present work, making use of this temperature solution, we describe the optimization of material composition to minimize the transient thermal stress. As a numerical example, two nonhomogeneous plates, one composed of zirconium oxide/titanium alloy and the others of alumina/ aluminum alloy, are considered. Then the optimum material composition is determined by calculation. Furthermore, the temperaturedependence of material properties is discussed.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128430178","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 : 1997-01-15DOI: 10.1299/JSMEA1993.40.1_31
C. Sato, H. Iwata, K. Ikegami
The propagation of stress waves and the concentration of dynamic stress in tapered lap adhesive joints with impact loading were investigated analytically and experimentally. Stress distribution and time variation of stress and strain in the joints under tensile impact loading were calculated using FEM, considering viscoelastic properties of the adhesive resin. Impact tests on the adhesive joints of aluminum alloy were conducted. Calculated results agreed with experimental results. The effects of taper length on the concentration of stress and strain were examined by comparing the calculated results with the experimental results. An increase in taper length is an effective way to reduce the concentration of stress and strain in adhesive lap joints under impact loading.
{"title":"Dynamic Deformation of Tapered Lap Adhesive Joint under Impact Loading","authors":"C. Sato, H. Iwata, K. Ikegami","doi":"10.1299/JSMEA1993.40.1_31","DOIUrl":"https://doi.org/10.1299/JSMEA1993.40.1_31","url":null,"abstract":"The propagation of stress waves and the concentration of dynamic stress in tapered lap adhesive joints with impact loading were investigated analytically and experimentally. Stress distribution and time variation of stress and strain in the joints under tensile impact loading were calculated using FEM, considering viscoelastic properties of the adhesive resin. Impact tests on the adhesive joints of aluminum alloy were conducted. Calculated results agreed with experimental results. The effects of taper length on the concentration of stress and strain were examined by comparing the calculated results with the experimental results. An increase in taper length is an effective way to reduce the concentration of stress and strain in adhesive lap joints under impact loading.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131055653","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 : 1997-01-15DOI: 10.1299/JSMEA1993.40.1_23
S. Biwa
Sudden growth of an infinitesimal void to a finite size under equitriaxial tension is studied for elastic-plastic materials via a bifurcation approach. The analysis employs the Prandtl-Reuss model with finite deformation taken into account, for both strainhardening and perfectly plastic solids. Expressions for critical stress and strain levels for finite void growth, namely, cavitation limits, are obtained in the form of integrals involving material parameters and hardening characteristics. Numerical results for the critical values and post-cavitation behavior are demonstrated for power-law hardening elastic plastic materials, and the influence of hardening exponents as well as elastic compliance is discussed in detail.
{"title":"Finite Expansion of an Infinitesimal Void in Elastic-Plastic Materials under Equitriaxial Stress","authors":"S. Biwa","doi":"10.1299/JSMEA1993.40.1_23","DOIUrl":"https://doi.org/10.1299/JSMEA1993.40.1_23","url":null,"abstract":"Sudden growth of an infinitesimal void to a finite size under equitriaxial tension is studied for elastic-plastic materials via a bifurcation approach. The analysis employs the Prandtl-Reuss model with finite deformation taken into account, for both strainhardening and perfectly plastic solids. Expressions for critical stress and strain levels for finite void growth, namely, cavitation limits, are obtained in the form of integrals involving material parameters and hardening characteristics. Numerical results for the critical values and post-cavitation behavior are demonstrated for power-law hardening elastic plastic materials, and the influence of hardening exponents as well as elastic compliance is discussed in detail.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123251620","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 : 1997-01-15DOI: 10.1299/JSMEA1993.40.1_58
Mitsuru Sato, S. Yoshioka, A. Inoue, S. Tani, Makoto Iwaoka
The delamination arrest between die pad and resin should be an efficient method to prevent resin cracking of LSI packages. In some LSI packages, dimples arranged on the die pad are effective for delamination arrest. In this study, the effects of dimples on delamination arrest are examined based on boundary element analyses of LSI packages under conditions of thermal and steam pressure loading. To evaluate this effect, the stress intensity factor, K i , for an interface crack was calculated using the contact between interface crack surfaces. The following main results were obtained. (1) The dimple decreases K i under both thermal and steam pressure load conditions. (2) The main reason for decreasing K i is to prevent shearing deformation between crack surfaces under thermal load conditions. Conversely, the reason for the decrease is the kinking of interface crack tips under steam pressure load conditions. (3 ) The effect of delamination arrest increases as the dimple depth increases.
{"title":"Analyses of Delamination Arrest Effect of Dimples on Interface in LSI Package","authors":"Mitsuru Sato, S. Yoshioka, A. Inoue, S. Tani, Makoto Iwaoka","doi":"10.1299/JSMEA1993.40.1_58","DOIUrl":"https://doi.org/10.1299/JSMEA1993.40.1_58","url":null,"abstract":"The delamination arrest between die pad and resin should be an efficient method to prevent resin cracking of LSI packages. In some LSI packages, dimples arranged on the die pad are effective for delamination arrest. In this study, the effects of dimples on delamination arrest are examined based on boundary element analyses of LSI packages under conditions of thermal and steam pressure loading. To evaluate this effect, the stress intensity factor, K i , for an interface crack was calculated using the contact between interface crack surfaces. The following main results were obtained. (1) The dimple decreases K i under both thermal and steam pressure load conditions. (2) The main reason for decreasing K i is to prevent shearing deformation between crack surfaces under thermal load conditions. Conversely, the reason for the decrease is the kinking of interface crack tips under steam pressure load conditions. (3 ) The effect of delamination arrest increases as the dimple depth increases.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115620994","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 : 1997-01-15DOI: 10.1299/JSMEA1993.40.1_65
M. Arai, T. Adachi, H. Matsumoto
The boundary element method(BEM) is developed for the dynamic analysis of thin elastic plate bending problems with arbitrary boundary conditions. The formulation employs Laplace-transform technique, where the boundary integral equations are obtained on the Laplace transformed domain with the fundamental solutions derived from Kelvin's functions. The accuracy of the numerical results mainly depends on those of numerical estimation of the singular integral derived from the static term of the fundamental solutions. In the present paper, an BEM formulation based on a single boundary integral equation of the deflection, which employes a source point on both the boundary and outer region, is discussed in detail. A non-singular boundary integral equation is introduced on the transformed domain, which is obtained by superposition of the analyzed field and the referenced field with a uniform gradient of deflection. Numerical results obtained by the proposed method are compared with the analytical solutions and the other numerical solutions by means of several numerical examples. These examples also serve to illustrate the use of the proposed method.
{"title":"Elastodynamic thin plate bending analysis by boundary element method with Laplace transform","authors":"M. Arai, T. Adachi, H. Matsumoto","doi":"10.1299/JSMEA1993.40.1_65","DOIUrl":"https://doi.org/10.1299/JSMEA1993.40.1_65","url":null,"abstract":"The boundary element method(BEM) is developed for the dynamic analysis of thin elastic plate bending problems with arbitrary boundary conditions. The formulation employs Laplace-transform technique, where the boundary integral equations are obtained on the Laplace transformed domain with the fundamental solutions derived from Kelvin's functions. The accuracy of the numerical results mainly depends on those of numerical estimation of the singular integral derived from the static term of the fundamental solutions. In the present paper, an BEM formulation based on a single boundary integral equation of the deflection, which employes a source point on both the boundary and outer region, is discussed in detail. A non-singular boundary integral equation is introduced on the transformed domain, which is obtained by superposition of the analyzed field and the referenced field with a uniform gradient of deflection. Numerical results obtained by the proposed method are compared with the analytical solutions and the other numerical solutions by means of several numerical examples. These examples also serve to illustrate the use of the proposed method.","PeriodicalId":143127,"journal":{"name":"JSME international journal. Series A, mechanics and material engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132166009","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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