Computational evaluation of micro- To macroscopic non-uniform deformation behavior of polycrystalline materials using second-order homogenization method

[1] Uchida M., Kaneko Y., Evaluation of non-uniform deformation behavior of polycrystalline materials using second-order homogenization method, Journal of the Society of Materials Science, Japan, 64, 9, pp. 718-724, (2015)

[2] Asaro R. J., Crystal plasticity, Journal of Applied Mechanics, 50, 4b, pp. 921-934, (1983)

[3] Fleck N. A., Muller G. M., Ashby M. F., Hutchinson J. W., Strain gradient plasticity theory and experiment, Acta Metallurgica et Materialia, 42, 2, pp. 475-487, (1994)

[4] Higa Y., Sawada Y., Tomita Y., Computational simulation of characteristic length dependent deformation behavior of polycrystalline metals, Transactions of Japan Society of Mechanical Engineering, Series A, 69, 679, pp. 523-529, (2003)

[5] Okumura D., Higashi Y., Ohno N., A Homogenization theory and its finite element discretization for nonlocal crystal plasticity, Journal of the Society of Materials Science, Japan, 54, 9, pp. 909-914, (2005)

[6] Aoyagi Y., Shizawa K., Dislocation-crystal plasticity simulation on formation process of ultrafine-grains based on geometrically necessary crystal defects, Transactions of Japan Society of Mechanical Engineering, Series A, 72, 720, pp. 1223-1230, (2006)

[7] Guedes J. M., Kikuchi N., Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods, Computer Methods in Applied Mechanics and Engineering, 83, 2, pp. 143-198, (1990)

[8] Terada K., Yuge K., Kikuchi N., Elasto-plastic analysis of composite materials using the homogenization method (1st report, formulation), Transactions of Japan Society of Mechanical Engineering, Series A, 61, 590, pp. 2199-2205, (1995)

[9] Higa Y., Tomita Y., Modeling and Computational simulation of deformation behavior of particle- reinforced composite materials by homogenization method, Transactions of Japan Society of Mechanical Engineering, Series A, 66, 648, pp. 1441-1446, (2000)

[10] Okada H., Fukui Y., Kumazawa N., Homogenization analysis using the boundary element method (Formulations and computer implementation in elastic analysis), Transactions of Japan Society of Mechanical Engineering, Series A, 68, 666, pp. 181-188, (2002)

[1] Uchida M., Kaneko Y., Evaluation of non-uniform deformation behavior of polycrystalline materials using second-order homogenization method, Journal of the Society of Materials Science, Japan, 64, 9, pp. 718-724, (2015)

[2] Asaro R. J., Crystal plasticity, Journal of Applied Mechanics, 50, 4b, pp. 921-934, (1983)

[3] Fleck N. A., Muller G. M., Ashby M. F., Hutchinson J. W., Strain gradient plasticity theory and experiment, Acta Metallurgica et Materialia, 42, 2, pp. 475-487, (1994)

[4] Higa Y., Sawada Y., Tomita Y., Computational simulation of characteristic length dependent deformation behavior of polycrystalline metals, Transactions of Japan Society of Mechanical Engineering, Series A, 69, 679, pp. 523-529, (2003)

[5] Okumura D., Higashi Y., Ohno N., A Homogenization theory and its finite element discretization for nonlocal crystal plasticity, Journal of the Society of Materials Science, Japan, 54, 9, pp. 909-914, (2005)

[6] Aoyagi Y., Shizawa K., Dislocation-crystal plasticity simulation on formation process of ultrafine-grains based on geometrically necessary crystal defects, Transactions of Japan Society of Mechanical Engineering, Series A, 72, 720, pp. 1223-1230, (2006)

[7] Guedes J. M., Kikuchi N., Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods, Computer Methods in Applied Mechanics and Engineering, 83, 2, pp. 143-198, (1990)

[8] Terada K., Yuge K., Kikuchi N., Elasto-plastic analysis of composite materials using the homogenization method (1st report, formulation), Transactions of Japan Society of Mechanical Engineering, Series A, 61, 590, pp. 2199-2205, (1995)

[9] Higa Y., Tomita Y., Modeling and Computational simulation of deformation behavior of particle- reinforced composite materials by homogenization method, Transactions of Japan Society of Mechanical Engineering, Series A, 66, 648, pp. 1441-1446, (2000)

[10] Okada H., Fukui Y., Kumazawa N., Homogenization analysis using the boundary element method (Formulations and computer implementation in elastic analysis), Transactions of Japan Society of Mechanical Engineering, Series A, 68, 666, pp. 181-188, (2002)