This shows you the differences between two versions of the page.
| Next revision | Previous revision | ||
|
laws:arbthmet [2019/09/17 13:02] helene created |
laws:arbthmet [2020/08/25 15:46] (current) |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ====== 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. | ||
| Line 54: | Line 54: | ||
| |:::| = 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 $=E_{to}$ | |