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laws:arbthmet [2019/09/17 13:02] helene created |
laws:arbthmet [2020/08/25 15:46] (current) |
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====== ARBTHMET ====== | ====== ARBTHMET ====== | ||
===== Description ===== | ===== Description ===== | ||
- | ELASTO‑PLASTIC CONSTITUTIVE LAW COUPLED WITH THERMAL AND METALLURGICAL EFFECTS IN SOLIDS | + | Elasto-plastic constitutive law coupled with thermal and metallurgical effects in solids |
==== The model ==== | ==== The model ==== | ||
This law is only used for coupled thermal, metallurgical, mechanical analysis of solids submitted to heat flow, metallurgical phase changes and mechanical stresses and strains. | This law is only used for coupled thermal, metallurgical, mechanical analysis of solids submitted to heat flow, metallurgical phase changes and mechanical stresses and strains. | ||
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|:::| = 0 in 3‑D state| | |:::| = 0 in 3‑D state| | ||
|:::| = element thickness (t) in generalized plane state| | |:::| = element thickness (t) in generalized plane state| | ||
- | |Q(2)| = current yield limit in tension, its initial value is $=R_{eo}$ | | + | |Q(2)|current yield limit in tension, its initial value is $=R_{eo}$ | |
- | |Q(3)| = 0 if the current state is elastic | | + | |Q(3)| = 0 if the current state is elastic | |
- | |:::| = 1 if the current state is elasto‑plastic| | + | |:::| = 1 if the current state is elasto‑plastic| |
- | |Q(4)| = equivalent plastic strain due to mechanical effects ($\bar{\varepsilon}^p$) | | + | |Q(4)|equivalent plastic strain due to mechanical effects ($\bar{\varepsilon}^p$) | |
- | |Q(5)| = equivalent plastic strain due to phase transformations ($\bar{\varepsilon}^{ph}$) | | + | |Q(5)|equivalent plastic strain due to phase transformations ($\bar{\varepsilon}^{ph}$) | |
- | |Q(6)| = current value of the elasto‑plastic tangent modulus; its initial value is $=E_{to}$ | | + | |Q(6)|current value of the elasto‑plastic tangent modulus; its initial value is $=E_{to}$ | |