Abstract
The physical relationships in elastic mechanics, i.e., generalized Hooke’s law, incremental equation and plastic yielding criteria in plasticity are presented first; then, ductile damage model corresponding to the dissipation of ductility of metal is briefly described in this chapter.
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References
Kassir Mumtaz (2018) Applied elasticity and plasticity. CRC Press, New York
Chakrabarty J (2006) Theory of plasticity, 3rd edn. Elsevier, Butterworth-Heinemann
Zheng M, Luo ZJ, Zheng X (1992) The yielding behavior of materials with random voids. Chin Sci Bull 37:512–516
Hearn EJ (2000) Mechanics of materials I, an introduction to the mechanics of elastic and plastic deformation of solids and structural materials, 3rd edn. Butterworth-Heinemann, Musselburgh
Besson J (2010) Continuum models of ductile fracture: a review. Int J Damage Mech 19:3–52
Zheng M, Luo ZJ, Zheng X (1991) Correlation of notch bar, metal overturn and forming data involving effective plastic strain and stress triaxiality ratio. Theor Appl Fract Mech 16:155–159
Zheng M, Luo ZJ, Zheng X (1992) A new damage model for ductile materials. Eng Fract Mech 41(1):103–110
Zheng M, Hu C, Luo ZJ, Zheng X (1994) Damage characterization of SAE 1020 and 1045 steel under torsion and compression. Theor Appl Fract Mech 21:91–99
Zheng M, Hu C, Luo ZJ, Zheng X (1996) A ductile damage model corresponding to the dissipation of ductility of metal. Eng Fract Mech 53(4):653–659
Budden PJ, Jones MR (1991) A ductile fracture model in mixed modes 1 and 2. Fatigue Fract Eng Mater Struct 14(4):469–482
Budden PJ (1987) The stress field near a blunting crack tip under mixed modes 1 and 2. J Mech Phys Solids 35(4):457–478
Budden PJ (1988) The effect of blunting on the strain field at a crack tip under mixed modes 1 and 2. J Mech Phys Solids 36(5):503–518
Green G, Knott JF (1976) The initiation and propagation of ductile fracture in low strength steels. J Eng Mater Technol 98(1):37–46
Aoki S, Kishimoto K, Yoshida T, Sakata M, Richard HA (1990) Elastic-plastic fracture behavior of an aluminum alloy under mixed mode loading. J Mech Phys Solids 38(2):195–213
Tohogo K, Okamoto Y, Otsuk A (1988) The behavior of ductile crack initiation from a notch and a crack under mode 1 loading. JSME Int J 31(3):588–597
Zheng M, Zhou G, Zhao G (1995) Predicting ductile crack initiation near notch tip under mode I loading by the damage theory. Int J Fract 73:R9–R13
Zheng M, Lauschke U, Kuna M (2000) A damage mechanics based approach for fracture of metallic components. Comput Mater Sci 19(1–4):170–178
Zheng M, Zhou G, Zacharopoulos DA, Kuna M (2001) Crack initiation behavior in StE690 Steel characterized by strain energy density criterion. Theoret Appl Fract Mech 36(2):141–145
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Zheng, M., Yin, Z., Teng, H., Liu, J., Wang, Y. (2019). Physical Relationship in Elastoplastic Mechanics. In: Elastoplastic Behavior of Highly Ductile Materials. Springer, Singapore. https://doi.org/10.1007/978-981-15-0906-3_2
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DOI: https://doi.org/10.1007/978-981-15-0906-3_2
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