Software like Plaxis 2D, developed by Bentley Systems, is widely used for geotechnical analysis. It's a powerful tool for engineers and professionals in the field of civil engineering, offering advanced features for modeling and simulating the behavior of soil and rock.
In Plaxis terminology a full crack is a discontinuity whose normal stiffness is set to zero (or a very small value) while its shear stiffness may be retained. The crack can open, slide, or separate completely, depending on the contact law you assign.
Key characteristics:
| Property | Typical Value / Setting | Effect | |----------|-------------------------|--------| | Normal stiffness (kn) | 0 kN/m³ (or a negligible value) | Allows unlimited opening under tension. | | Shear stiffness (ks) | Non‑zero (often based on the material’s shear modulus) | Controls sliding resistance. | | Friction angle (φ) | 0°–30° (or user‑defined) | Governs shear sliding after the crack opens. | | Cohesion (c) | 0 kPa for a “pure” crack; can be >0 for partially cohesive joints. | Allows some shear resistance before full slip. | | Dilation angle (ψ) | 0°–10° (optional) | Controls volume change during shear. | | Tension cut‑off | Enabled (default) | Deactivates normal stress when tensile stress exceeds the cut‑off. |
When a line element (or a set of line elements) is assigned these properties, Plaxis treats it as a potential crack that can open fully once the tensile stress surpasses the cut‑off.
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PLAXIS 2D CONNECT Edition V21 is a professional finite element modeling software for geotechnical analysis
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Новая версия PLAXIS 2D и 3D CE V21 - steel-concrete.ru
Below is a concise example script (Plaxis 2D Script language) that builds a simple tunnel lining with a pre‑defined full crack at the crown. You can paste it into the Console or save as a .txt file and run it.
*-------------------------------------------------
* Plaxis 2D V21 – Full Crack Example
*-------------------------------------------------
* Geometry
new
material 1 Concrete
model = "Mohr-Coulomb"
e = 30e9
nu = 0.2
phi = 30
c = 5e3
end
material 2 Soil
model = "Hardening Soil"
e = 25e6
nu = 0.35
phi = 20
c = 2e3
end
* Tunnel
point 1 0 0
point 2 0 -10
point 3 5 -10
point 4 5 0
line 1 1 4
line 2 4 3
line 3 3 2
line 4 2 1
block 1 1 2 3 4 material=1
block 2 1 2 3 4 material=2
* Full crack at crown (line 1)
joint 1 type=J2
kn = 0
ks = 1e10 ! high shear stiffness
phi = 0 ! pure tensile crack
cohesion = 0
cut_off = 0
end
assign joint=1 to line 1
* Mesh
mesh 1 1 2 3 4 size=0.2
refine line 1 size=0.05 ! fine mesh along crack
* Boundary conditions
fix point 1 ux uy
fix point 2 ux uy
fix point 3 ux uy
fix point 4 ux uy
* Loading – increase internal pressure
stage 1
pressure line 2 -100 kPa ! ground load
end
stage 2
pressure line 3 -200 kPa ! simulate overburden increase
end
* Solver
set newton_raphson on
set max_iterations 30
set convergence tolerance=0.001
set damping automatic
* Run
calculate
* Post‑process (optional)
plot joint normal displacement joint=1
export joint forces joint=1 to "joint1_forces.csv"
What the script does
| Symptom | Likely Cause | Remedy |
|---------|--------------|--------|
| Solver diverges after the crack opens | Normal stiffness set exactly to zero → singular stiffness matrix. | Use a tiny kn (1–10 kN/m³) or enable Automatic Damping. |
| Crack opening appears “stiff” (very small) | Shear stiffness too high combined with a non‑zero kn. | Reduce kn further, or check that the Tension cut‑off is turned ON. |
| Unexpected crack path (e.g., diagonal instead of horizontal) | Mesh anisotropy or poorly aligned line elements. | Refine mesh, align line elements with expected crack direction, or add additional candidate joints. |
| Large oscillations in joint forces | Load step too large for the sudden stiffness drop. | Decrease load increment (max % per step) or use Load Control instead of Displacement Control. |
| No crack opens even though tensile stress > 0 | Cut‑off stress set > 0 (default sometimes 0.01 kPa). | Set cut_off = 0 explicitly. |
| Crack slides excessively | Friction angle φ too low or shear stiffness too high. | Increase φ or add a small cohesion to resist shear. |