By Kirchner E., Reese St., Wriggers P.
A two-dimensional finite point technique is built for big deformation plasticity. vital axes are used for the outline of the fabric behaviour, and using imperative logarithmic stretches results in specific formulae for finite deformation issues of huge elastic and plastic lines. an effective go back mapping set of rules and the corresponding constant tangent are derived and utilized to airplane rigidity difficulties. examples convey the functionality of the proposed formula.
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Additional info for A Finite Element Method for Plane Stress Problems with Large Elastic and Plastic Deformations
1007/978-3-540-78644-3_4 # Springer 2008 18 Cu–Fe– Ti Fig. 12. Cu-Fe-Ti. 1007/978-3-540-78644-3_4 # Springer 2008 MSIT® Landolt-Börnstein New Series IV/11D4 Cu–Fe– Ti 19 Fig. 13. Cu-Fe-Ti. 1007/978-3-540-78644-3_4 # Springer 2008 20 Cu–Fe– Ti Fig. 14. Cu-Fe-Ti. 1007/978-3-540-78644-3_4 # Springer 2008 MSIT® Landolt-Börnstein New Series IV/11D4 Cu–Fe– Ti 21 Fig. 15. Cu-Fe-Ti. 1007/978-3-540-78644-3_4 # Springer 2008 22 Cu–Fe– Ti Fig. 16. Cu-Fe-Ti. , “Study of the Ternary Cu-Fe-Ti Phase Diagram” (in Russian), Izv.
The results of [1993Ali, 1994Ali1, 1994Ali2, 1995Bee] were critically reviewed by [2002Rag]. Thermodynamic properties only for liquid alloys were investigated by [2006Abd]. The experimental investigations of phase relationships and thermodynamic properties of phases in the Cu-Fe-Ti system are summarized in Table 1. Binary Systems The binary systems Cu-Fe and Cu-Ti are accepted from [2007Tur] and [2002Ans] respectively. The Fe-Ti binary phase diagram is taken from [Mas2]. Solid Phases The crystal structure data of solid phases are listed in Table 2.
The phase relations in this diagram are similar to those of [1990San]. 6 GPa), and T (to 1000°C). A new phase was found, ε’, which has a dhcp structure. 5 GPa and temperature of 700°C. The curves below 3 GPa have been reproduced from [1996Ant], where the temperature of the ε→γ transition increases linearly with pressure. A fourth triple point, δ+γ+L, was included, but only qualitatively. The Fe-Mn phase diagram is accepted from [2004Wit]. Solid Phases The crystal structures of the unary and binary phases are presented in Table 2.
A Finite Element Method for Plane Stress Problems with Large Elastic and Plastic Deformations by Kirchner E., Reese St., Wriggers P.