Abstract
The off-axis tensile strength (OATS) of copy paper, filter paper, and sack paper was obtained from dog-bone specimens. The relationship between OATS and the off-axis angle (OAA) was predicted under several failure conditions. Additionally, the shear strengths (SS) of these papers were evaluated based on the results of OAT tests. The OATS could be accurately predicted under several Hill-type failure conditions. An equation for deriving the in-plane SS of these papers was proposed based on the tensile strength of the specimen with a 35° OAA, in which the contribution of the shear stress component was maximum.
Acknowledgments
The authors thank Mr. Kazumasa Takeda and Ms. Izuho Serizawa, who are graduate and undergraduate students, respectively, for their help in conducting the experiment. This work was supported in part by a Grant-in-Aid for Scientific Research (C) (No. 24580246) of the Japan Society for the Promotion of Science.
References
Azzi, V.D., Tsai, S.W. (1965) Anisotropic strength of composites. Exp. Mech. 5:283–288.Search in Google Scholar
Baum, G.A., Habeger, C.C., Fleischman, E.H. (1981) Measurement of the orthotropic elastic constants of paper. IPC Tech. Pap. Ser. 117:1–25.Search in Google Scholar
Carlsson, L.A., Lindstrom, T. (2005) A shear-lag approach to the tensile strength of paper. Compos. Sci. Technol. 65:183–189.Search in Google Scholar
Castro, J., Ostoja-Starzewski, M. (2003) Elasto-plasticity of paper. Int. J. Plast. 19:2083–2098.10.1016/S0749-6419(03)00060-3Search in Google Scholar
Caulfield, D.F., Gunderson, D.E. Paper testing and strength characteristics. Proc. TAPPI 1988 Paper Preservation Symposium. TAPPI Press, Washington, DC/Atlanta, GA, 1988. pp. 31–40.Search in Google Scholar
Chamis, C.C., Sinclair, J.H. (1977) Ten-deg off-axis test for shear properties in fiber composites. Exp. Mech. 17:339–346.Search in Google Scholar
Cowin, S.C. (1979) On the strength anisotropy of bone and wood. Trans. ASME J. Appl. Mech. 46:832–838.Search in Google Scholar
Cox, H.L. (1951) The elasticity and strength of paper and other fibrous materials. Br. J. Appl. Phys. 3:72–79.Search in Google Scholar
Dahl, K.B., Malo, K.A. (2009a) Nonlinear shear properties of spruce softwood: experimental results. Wood Sci. Technol. 43:539–558.10.1007/s00226-009-0247-4Search in Google Scholar
Dahl, K.B., Malo, K.A. (2009b) Nonlinear shear properties of spruce softwood: numerical analyses of experimental results. Compos. Sci. Technol. 69:2144–2151.10.1016/j.compscitech.2009.05.011Search in Google Scholar
de Ruvo, A., Carlsson, L., Fellers, C. (1980) The biaxial strength of paper. TAPPI 63:133–146.Search in Google Scholar
Enomae, T., Hamada, H., Ifuku, T., Noda, T. Determination of porosity of paper and coatings by mercury buoyancy method. Proc. Annu. Conf. Soc. Fiber Sci. Technol. Jpn., 1E02, Kyoto, Japan, 2003.Search in Google Scholar
Fellers, C. (1977) Procedure for measuring the interlaminar shear properties of paper. Svensk Papperst. 3:89–93.Search in Google Scholar
Hankinson, R.L. Investigation of crushing strength of spruce at varying angles of grain. Air Service Information Circular No. 259, U.S. Air Service, 1921.Search in Google Scholar
Heckers, W., Gottsching, L. (1980) Ein Verfahren zur Bestimmung der Scherfestigkeit in der Bahnebene von Papier und Karton. Das Pap. 34:1–5.Search in Google Scholar
ISO Standard 1924-2-2008 (2008) Paper and board – determination of tensile properties. Part 2: constant rate of elongation method (20 mm/min).Search in Google Scholar
JIS Standard P8118-1996 (1996) Testing method for thickness and bulk density of paper and paperboard.Search in Google Scholar
JIS Standard P8113-2006 (2006) Paper and board – determination of tensile properties. Part 2: constant rate of elongation method.Search in Google Scholar
JIS Standard Z2101-2009 (2009) Methods of test for woods.Search in Google Scholar
Jones, A.R. (1967) An experimental investigation of the in-plane elastic moduli of paper. The Institute of Paper Science and Technology. Doctoral dissertation reprint, pp. 1–137.Search in Google Scholar
Khoury, M., Tourtollet, G.E., Schroder, A. (1999) Contactless measurement of the elastic Young’s modulus of paper by an ultrasonic technique. Ultrasonics 37:133–139.10.1016/S0041-624X(98)00049-3Search in Google Scholar
Kimura, M., Iwasaki, Y., Kadoya, T., Oda, M. (1979) Study on determination of paper thickness by mercury buoyancy method. Mokuzai Gakkaishi 25:139–144.Search in Google Scholar
Kimura, M., Nakao, T., Katoh, M. (1985) Experimental method for calculating Young’s modulus of paper from elongation test. Jpn. TAPPI J. 39:1057–1062.10.2524/jtappij.39.1057Search in Google Scholar
Kollman, F.F.P., Côte, W.A. Principles of Wood Science and Technology. Springer-Verlag, Berlin, 1968.Search in Google Scholar
Mäkelä, P., Östlund, S. (2003) Orthotropic elastic-plastic material model for paper materials. Int. J. Solid. Struct. 40:5599–5620.Search in Google Scholar
Mann, R.W., Baum, G.A., Habeger, C.C. (1979) Determination of all nine orthotropic elastic constants for machine-made paper. IPC Tech. Pap. Ser. 84:1–17.Search in Google Scholar
Mascia, N.T., Nicolas, E.A. (2012) Evaluation of Tsai-Wu criterion and Hankinson’s formula for a Brazilian wood species by comparison with experimental off-axis strength tests. Wood Mater. Sci. Eng. 7:49–58.10.1080/17480272.2012.654820Search in Google Scholar
Nahas, M.N. (1986) Survey of failure and post-failure theories of laminated fiber reinforced composites. J. Compos. Technol. Res. 8:138–153.Search in Google Scholar
Norris, C.B. (1962) Strength of orthotropic materials subjected to combined stresses. Forest Prod. Lab. Rep. 1816:1–40.Search in Google Scholar
Norris, C.B., McKinnon, P.F. (1956) Compression, tension and shear tests on yellow-poplar plywood panels of sizes that do not buckle with tests made at various angles to the face grain. For. Prod. Lab. Rep. 1328:1–50.Search in Google Scholar
Oda, M., Kadoya, T., Usuda, M., Kimura, M. (1979) Stiffness of paper I: subjective judgments and Clark’s stiffness measurement. Jpn. TAPPI J. 33:214–219.10.2524/jtappij.33.3_214Search in Google Scholar
Oh, S.-C. (2011) Applying failure criteria to the strength evaluation of 3-ply laminated veneer lumber according to grain direction by uniaxial tension test. Constr. Build. Mater. 25:1480–1484.10.1016/j.conbuildmat.2010.08.002Search in Google Scholar
Pan, N., Zhang, X. (1997) Shear strength of fibrous sheets: an experimental investigation. Textile Res. J. 67:593–600.Search in Google Scholar
Pindera, M.J., Herakovich, C.T. (1986) Shear characterization of unidirectional composites with the off-axis tension test. Exp. Mech. 26:103–112.Search in Google Scholar
Pindera, M.J., Choski, G., Hidde, J.S., Herakovich, C.T. (1987) A methodology for accurate shear characterization of unidirectional composites. J. Compos. Mater. 21: 1164–1184.Search in Google Scholar
Rowlands, R.E., Gunderson, D.E., Suhling, J.C., Johnson, M.W. (1985) Biaxial strength of paperboard predicted by Hill-type theories. J. Strain Anal. 20:121–127.10.1243/03093247V202121Search in Google Scholar
Schulgasser, K. (1983) The in-plane Poisson ratio of paper. Fibre Sci. Technol. 19:297–309.Search in Google Scholar
Suhling, J.C., Rowlands, R.E., Johnson, M.W., Gunderson, D.E. (1985) Tensorial strength analysis of paperboard. Exp. Mech. 20:75–84.Search in Google Scholar
TAPPI Standard T404 (1992) Tensile breaking strength and elongation of paper and paperboard (using pendulum-type tester).Search in Google Scholar
TAPPI Standard T494 (2001) Tensile breaking properties of paper and paperboard (using constant rate of elongation apparatus).Search in Google Scholar
Uesaka, T., Murakami, K., Imamura, R. (1977) Dependence of in-plane elastic moduli of paper on basis weight. J. Soc. Mater. Sci. Jpn. 25:472–476.Search in Google Scholar
Uesaka, T., Murakami, K., Imamura, R. (1979) Biaxial tensile behavior of paper. TAPPI 62:111–114.Search in Google Scholar
Waterhouse, J.F. (1984) The ultimate strength of paper. IPC Tech. Pap. Ser. 146:1–35.Search in Google Scholar
Wu, R.-Y., Stachurski, Z. (1984) Evaluation of the normal stress interaction parameter in the tensor polynomial strength theory for anisotropic materials. J. Compos. Mater. 18:456–463.Search in Google Scholar
Xavier, J.C., Garrido, N.M., Oliveira, M., Morais, J.L., Camanho, P.P., Pierron, F. (2004) A comparison between the Iosipescu and off-axis shear test methods for the characterization of Pinus pinaster Ait. Composites A 35:827–840.10.1016/j.compositesa.2004.01.013Search in Google Scholar
Xavier, J.C., Oliveira, M., Morais, J., Pinto, T. (2009) Measurement of the shear properties of clear wood by the Arcan test. Holzforschung 63:217–225.10.1515/HF.2009.034Search in Google Scholar
Yokoyama, T., Nakai, K. Evaluation of in-plane orthotropic elastic constants of paper and paperboard. Proc. SEM Ann. Conf. Expos. Exp. Appl. Mech., Springfield, MA, 2007.Search in Google Scholar
Yokoyama, T., Nakai, K. Orientation dependence of in-plane tensile properties of paper: experiments and theories. Proc. Jpn. Soc. Mech. Eng. M&M Conf., OS1108, Ehime, Japan, 2009.10.1299/jsmemm.2009.115Search in Google Scholar
Yoshihara, H. (2009a) Shear properties of wood measured by the asymmetric four-point bending test of notched specimen. Holzforschung 63:211–216.10.1515/HF.2009.035Search in Google Scholar
Yoshihara, H. (2009b) Prediction of the off-axis stress-strain relation of wood under compression loading. Eur. J. Wood Prod. 67:183–188.10.1007/s00107-009-0320-6Search in Google Scholar
Yoshihara, H., Ohta, M. (2000) Estimation of the shear strength of wood by uniaxial-tension tests of off-axis specimens. J. Wood Sci. 46:159–163.10.1007/BF00777364Search in Google Scholar
Yoshihara, H., Suzuki, A. (2005) Shear stress/shear strain relation of wood obtained by asymmetric four-point bending test of side-tapered specimen. J. Test. Eval. 33:55–60.10.1520/JTE11936Search in Google Scholar
Yoshihara, H., Ohsaki, H., Kubojima, Y., Ohta, M. (1999) Applicability of the Iosipescu shear test on the measurement of the shear properties of wood. J. Wood Sci. 45:24–29.10.1007/BF00579520Search in Google Scholar
Yoshihara, H., Ohsaki, H., Kubojima, Y., Ohta, M. (2001) Comparisons of shear stress/shear strain relations of wood obtained by Iosipescu and torsion tests. Wood Fiber Sci. 33:275–283.Search in Google Scholar
©2014 by Walter de Gruyter Berlin/Boston
Articles in the same Issue
- Frontmatter
- Review Article
- Multistage oxygen delignification of high-kappa pine kraft pulp with peroxymonosulfuric acid (Px)
- Original Articles
- Pyrolysis gas-chromatography mass-spectrometry (Py-GC/MS) to identify compression wood in Pinus radiata saplings
- Cationization of Eucalyptus grandis 4-O-methyl glucuronoxylan for application as a wet-end additive in a papermaking process
- Extractives of mechanically wounded wood and knots in beech
- Complex between lignin and a Ti-based coupling agent
- Synthesis and biological activities of maleated rosin-based dithiourea compounds
- Thermoplastic deformation of poplar wood plasticized by ionic liquids measured by a nonisothermal compression technique
- Anomalous thermal expansion behaviors of wood under dry and low-temperature conditions
- Interfacial properties of magnesium phosphate ceramics and sugar maple (Acer saccharum)
- Off-axis tensile strength and evaluation of the in-plane shear strength of paper
- Migration of cesium chloride dissolved in the liquid water of sugi (Cryptomeria japonica D. Don) during drying at 65°C
- Numerical modeling of timber with knots: the progressively damaged lattice approach vs. the equivalent damaged continuum
- Meetings
- Meetings
Articles in the same Issue
- Frontmatter
- Review Article
- Multistage oxygen delignification of high-kappa pine kraft pulp with peroxymonosulfuric acid (Px)
- Original Articles
- Pyrolysis gas-chromatography mass-spectrometry (Py-GC/MS) to identify compression wood in Pinus radiata saplings
- Cationization of Eucalyptus grandis 4-O-methyl glucuronoxylan for application as a wet-end additive in a papermaking process
- Extractives of mechanically wounded wood and knots in beech
- Complex between lignin and a Ti-based coupling agent
- Synthesis and biological activities of maleated rosin-based dithiourea compounds
- Thermoplastic deformation of poplar wood plasticized by ionic liquids measured by a nonisothermal compression technique
- Anomalous thermal expansion behaviors of wood under dry and low-temperature conditions
- Interfacial properties of magnesium phosphate ceramics and sugar maple (Acer saccharum)
- Off-axis tensile strength and evaluation of the in-plane shear strength of paper
- Migration of cesium chloride dissolved in the liquid water of sugi (Cryptomeria japonica D. Don) during drying at 65°C
- Numerical modeling of timber with knots: the progressively damaged lattice approach vs. the equivalent damaged continuum
- Meetings
- Meetings