How to cite this paper
Berto, F & Gallo, P. (2015). Extension of linear elastic strain energy density approach to high temperature fatigue and a synthesis of Cu-Be alloy experimental tests.Engineering Solid Mechanics, 3(2), 111-116.
Refrences
Alaneme, K.K., Hong, S.M., Sen, I., Fleury, E., & Ramamurty, U. (2010). Effect of copper addition on the fracture and fatigue crack growth behavior of solution heat-treated SUS 304H austenitic steel. Materials Science and Engineering: A, 527, 4600–4604.
Berto, F., Gallo, P., & Lazzarin, P. (2014). High temperature fatigue tests of un-notched and notched specimens made of 40CrMoV13.9 steel. Materials & Design, 63, 609–619.
Berto, F., & Lazzarin, P. (2014). Recent developments in brittle and quasi-brittle failure assessment of engineering materials by means of local approaches. Materials Science and Engineering: R: Reports 75, 1–48.
Berto, F., Lazzarin, P., & Gallo, P. (2013). High-temperature fatigue strength of a copper-cobalt-beryllium alloy. The Journal of Strain Analysis for Engineering Design, 49, 244–256.
Bose, B., & Klassen, R.J. (2009). Effect of copper addition and heat treatment on the depth dependence of the nanoindentation creep of aluminum at 300K. Materials Science and Engineering: A, 500, 164–169.
Caron, R.N. (2001). Copper Alloys: Properties and Applications. Encyclopedia of Materials: Science and Technology, 1665–1668.
Constantinescu, S., Popa, A., Groza, J., & Bock, I. (1996). New high-temperature copper alloys. Journal of Materials Engineering and Performance, 5, 695–698.
Davis, J.R. (2001). Copper and Copper Alloys. ASM International.
Gallo, P., Berto, F., Lazzarin, P., & Luisetto, P. (2014). High Temperature Fatigue Tests of Cu-be and 40CrMoV13.9 Alloys. Procedia Materials Science, 3, 27–32.
Gonzalez, B., Castro, C.S., Buono, V.T., Vilela, J.M., Andrade, M., Moraes, J.M., & Mantel, M. (2003). The influence of copper addition on the formability of AISI 304 stainless steel. Materials Science and Engineering: A, 343, 51–56.
Kar, A., Ghosh, M., Ray, A.K., & Ghosh, R.N. (2007). Effect of copper addition on the microstructure and mechanical properties of lead free solder alloy. Materials Science and Engineering: A, 459, 69–74.
Ko, S.J., & Kim, Y.-J. (2012). High temperature fatigue behaviors of a cast ferritic stainless steel. Materials Science and Engineering: A, 534, 7–12.
Kwofie, S. (2006). Cyclic creep of copper due to axial cyclic and tensile mean stresses. Materials Science and Engineering: A, 427, 263–267.
Lazzarin, P., & Berto, F. (2005). Some Expressions for the Strain Energy in a Finite Volume Surrounding the Root of Blunt V-notches. International Journal of Fracture, 135, 161–185.
Lazzarin, P., Berto, F., G?mez, F.J., & Zappalorto, M. (2008). Some advantages derived from the use of the strain energy density over a control volume in fatigue strength assessments of welded joints. International Journal of Fatigue, 30, 1345–1357.
Lazzarin, P., Berto, F., & Zappalorto, M. (2010). Rapid calculations of notch stress intensity factors based on averaged strain energy density from coarse meshes: Theoretical bases and applications. International Journal of Fatigue, 32, 1559–1567.
Lazzarin, P., Zambardi, R., & Livieri, P. (2001). Plastic notch stress intensity factors for large V-shaped notches under mixed load conditions. International Journal of Fracture, 107, 361–377.
Li, G., Thomas, B., & Stubbins, J. (2000). Modeling creep and fatigue of copper alloys. Metallurgical and materials transactions A, 31, 2491–2502.
Li, M., Singh, B., & Stubbins, J. (2004). Room temperature creep–fatigue response of selected copper alloys for high heat flux applications. Journal of Nuclear Materials, 329-333, 865–869.
Liu, J., Zhang, Q., Zuo, Z., Xiong, Y., Ren, F., & Volinsky, A. (2013). Microstructure evolution of Al–12Si–CuNiMg alloy under high temperature low cycle fatigue. Materials Science and Engineering: A, 574, 186-190.
Lu, D.-P., Wang, J., Zeng, W.-J., Liu, Y., Lu, L., & Sun, B.-D. (2006). Study on high-strength and high-conductivity Cu–Fe–P alloys. Materials Science and Engineering: A, 421, 254–259.
Maji, B.C., & Krishnan, M. (2013). Effect of copper addition on the microstructure and shape recovery of Fe–Mn–Si–Cr–Ni shape memory alloys. Materials Science and Engineering: A, 570, 13–26.
Miura, H., Ito, Y., Sakai, T., & Kato, M. (2004). Cyclic creep and fracture behavior of Cu–SiO2 bicrystals with [011] twist boundaries. Materials Science and Engineering: A, 387-389, 522–524.
Prasad, K., Sarkar, R., Ghosal, P., Kumar, V., & Sundararaman, M. (2013). High temperature low cycle fatigue deformation behaviour of forged IN 718 superalloy turbine disc. Materials Science and Engineering: A, 568, 239–245.
Quinlan, M.F., & Hillery, M.T. (2004). High-strain-rate testing of beryllium copper at elevated temperatures. Journal of Materials Processing Technology, 153-154, 1051–1057.
Ratka, J.O., & Spiegelberg, W.D. (1994). A high performance beryllium copper alloy for magnet applications. IEEE Transactions on Magnetics, 30, 1859–1862.
Reardon, A.C. (2011). Metallurgy for the Non-metallurgist, II. ed. ASM International.
Shen, K., Wang, M.P., & Li, S.M. (2009). Study on the properties and microstructure of dispersion strengthened copper alloy deformed at high temperatures. Journal of Alloys and Compounds, 479, 401–408.
Torabi, A.R. (2013a). Wide range brittle fracture curves for U-notched components based on UMTS model. Engineering Solid Mechanics, 1, 57–68.
Torabi, A.R. (2013b). Failure curves for predicting brittle fracture in V-notched structural components loaded under mixed tension/shear: An advanced engineering design package. Engineering Solid Mechanics, 99–118.
Torabi, A.R. (2013c). The Equivalent Material Concept: Application to failure of O-notches. Engineering Solid Mechanics, 1, 129–140.
Torabi, A., & Aliha, M. (2013). Determination of permissible defect size for solid axles loaded under fully-reversed rotating bending. Engineering Solid Mechanics, 1(1), 27-36.
Yang, J.H., Zhang, X.P., Mai, Y.-W., Jia, W.P., & Ke, W. (2005). Environmental effects on deformation mechanism and dislocation microstructure in fatigued copper single crystal. Materials Science and Engineering: A, 396, 403–408.
Zhou, H.T., Zhong, J.W., Zhou, X., Zhao, Z.K., & Li, Q.B. (2008). Microstructure and properties of Cu–1.0Cr–0.2Zr–0.03Fe alloy. Materials Science and Engineering: A, 498, 225–230.
Berto, F., Gallo, P., & Lazzarin, P. (2014). High temperature fatigue tests of un-notched and notched specimens made of 40CrMoV13.9 steel. Materials & Design, 63, 609–619.
Berto, F., & Lazzarin, P. (2014). Recent developments in brittle and quasi-brittle failure assessment of engineering materials by means of local approaches. Materials Science and Engineering: R: Reports 75, 1–48.
Berto, F., Lazzarin, P., & Gallo, P. (2013). High-temperature fatigue strength of a copper-cobalt-beryllium alloy. The Journal of Strain Analysis for Engineering Design, 49, 244–256.
Bose, B., & Klassen, R.J. (2009). Effect of copper addition and heat treatment on the depth dependence of the nanoindentation creep of aluminum at 300K. Materials Science and Engineering: A, 500, 164–169.
Caron, R.N. (2001). Copper Alloys: Properties and Applications. Encyclopedia of Materials: Science and Technology, 1665–1668.
Constantinescu, S., Popa, A., Groza, J., & Bock, I. (1996). New high-temperature copper alloys. Journal of Materials Engineering and Performance, 5, 695–698.
Davis, J.R. (2001). Copper and Copper Alloys. ASM International.
Gallo, P., Berto, F., Lazzarin, P., & Luisetto, P. (2014). High Temperature Fatigue Tests of Cu-be and 40CrMoV13.9 Alloys. Procedia Materials Science, 3, 27–32.
Gonzalez, B., Castro, C.S., Buono, V.T., Vilela, J.M., Andrade, M., Moraes, J.M., & Mantel, M. (2003). The influence of copper addition on the formability of AISI 304 stainless steel. Materials Science and Engineering: A, 343, 51–56.
Kar, A., Ghosh, M., Ray, A.K., & Ghosh, R.N. (2007). Effect of copper addition on the microstructure and mechanical properties of lead free solder alloy. Materials Science and Engineering: A, 459, 69–74.
Ko, S.J., & Kim, Y.-J. (2012). High temperature fatigue behaviors of a cast ferritic stainless steel. Materials Science and Engineering: A, 534, 7–12.
Kwofie, S. (2006). Cyclic creep of copper due to axial cyclic and tensile mean stresses. Materials Science and Engineering: A, 427, 263–267.
Lazzarin, P., & Berto, F. (2005). Some Expressions for the Strain Energy in a Finite Volume Surrounding the Root of Blunt V-notches. International Journal of Fracture, 135, 161–185.
Lazzarin, P., Berto, F., G?mez, F.J., & Zappalorto, M. (2008). Some advantages derived from the use of the strain energy density over a control volume in fatigue strength assessments of welded joints. International Journal of Fatigue, 30, 1345–1357.
Lazzarin, P., Berto, F., & Zappalorto, M. (2010). Rapid calculations of notch stress intensity factors based on averaged strain energy density from coarse meshes: Theoretical bases and applications. International Journal of Fatigue, 32, 1559–1567.
Lazzarin, P., Zambardi, R., & Livieri, P. (2001). Plastic notch stress intensity factors for large V-shaped notches under mixed load conditions. International Journal of Fracture, 107, 361–377.
Li, G., Thomas, B., & Stubbins, J. (2000). Modeling creep and fatigue of copper alloys. Metallurgical and materials transactions A, 31, 2491–2502.
Li, M., Singh, B., & Stubbins, J. (2004). Room temperature creep–fatigue response of selected copper alloys for high heat flux applications. Journal of Nuclear Materials, 329-333, 865–869.
Liu, J., Zhang, Q., Zuo, Z., Xiong, Y., Ren, F., & Volinsky, A. (2013). Microstructure evolution of Al–12Si–CuNiMg alloy under high temperature low cycle fatigue. Materials Science and Engineering: A, 574, 186-190.
Lu, D.-P., Wang, J., Zeng, W.-J., Liu, Y., Lu, L., & Sun, B.-D. (2006). Study on high-strength and high-conductivity Cu–Fe–P alloys. Materials Science and Engineering: A, 421, 254–259.
Maji, B.C., & Krishnan, M. (2013). Effect of copper addition on the microstructure and shape recovery of Fe–Mn–Si–Cr–Ni shape memory alloys. Materials Science and Engineering: A, 570, 13–26.
Miura, H., Ito, Y., Sakai, T., & Kato, M. (2004). Cyclic creep and fracture behavior of Cu–SiO2 bicrystals with [011] twist boundaries. Materials Science and Engineering: A, 387-389, 522–524.
Prasad, K., Sarkar, R., Ghosal, P., Kumar, V., & Sundararaman, M. (2013). High temperature low cycle fatigue deformation behaviour of forged IN 718 superalloy turbine disc. Materials Science and Engineering: A, 568, 239–245.
Quinlan, M.F., & Hillery, M.T. (2004). High-strain-rate testing of beryllium copper at elevated temperatures. Journal of Materials Processing Technology, 153-154, 1051–1057.
Ratka, J.O., & Spiegelberg, W.D. (1994). A high performance beryllium copper alloy for magnet applications. IEEE Transactions on Magnetics, 30, 1859–1862.
Reardon, A.C. (2011). Metallurgy for the Non-metallurgist, II. ed. ASM International.
Shen, K., Wang, M.P., & Li, S.M. (2009). Study on the properties and microstructure of dispersion strengthened copper alloy deformed at high temperatures. Journal of Alloys and Compounds, 479, 401–408.
Torabi, A.R. (2013a). Wide range brittle fracture curves for U-notched components based on UMTS model. Engineering Solid Mechanics, 1, 57–68.
Torabi, A.R. (2013b). Failure curves for predicting brittle fracture in V-notched structural components loaded under mixed tension/shear: An advanced engineering design package. Engineering Solid Mechanics, 99–118.
Torabi, A.R. (2013c). The Equivalent Material Concept: Application to failure of O-notches. Engineering Solid Mechanics, 1, 129–140.
Torabi, A., & Aliha, M. (2013). Determination of permissible defect size for solid axles loaded under fully-reversed rotating bending. Engineering Solid Mechanics, 1(1), 27-36.
Yang, J.H., Zhang, X.P., Mai, Y.-W., Jia, W.P., & Ke, W. (2005). Environmental effects on deformation mechanism and dislocation microstructure in fatigued copper single crystal. Materials Science and Engineering: A, 396, 403–408.
Zhou, H.T., Zhong, J.W., Zhou, X., Zhao, Z.K., & Li, Q.B. (2008). Microstructure and properties of Cu–1.0Cr–0.2Zr–0.03Fe alloy. Materials Science and Engineering: A, 498, 225–230.