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Catheter shaft mechanical behavior — Push, twist, bend | Protobrix

Catheter shaft mechanical behavior

Predict push (Euler buckling), twist (whipping angle) and bend (cantilever deflection) for an isotropic homogeneous catheter shaft from OD, ID, length, material and temperature. Snapshot two configurations and compare them side by side.

Decision-support tool. Isotropic homogeneous model — for multi-layer shafts with braid/coil reinforcement, see the Catheter Reflow Design Assistant. Bench testing required for final design.
Push · Euler
N
F_crit — column buckling
Twist · Whipping
°
θ at friction release
Bend · Cantilever
mm
tip deflection
Compare two configurations: snapshot the current state, change parameters, see the difference.
Geometry
Outer diameter (OD) 2.00mm
0.3 mm6.0 mm
Inner diameter (ID) 1.40mm
0.1 mm5.5 mm
Working length (L) 50mm
5 mm300 mm
Big lever. F_crit ~ 1/L² · θ and y ~ L. Halving L quadruples F_crit.
Material & temperature
Push — column buckling Euler
F_crit = π²·E·I / (K·L)²
Applied push force 0.5 N
Friction torque Tf 2.0mN·m
020 mN·m
Bending force Fflex 0.10N
02 N

Three independent calculations on an isotropic homogeneous shaft:

Push (Euler): F_crit = π² · E · I / (K · L)²
Twist: θ = T · L / (G · J)
Bend: y = F · L³ / (3 · E · I)

where I = π/64 · (OD⁴ − ID⁴), J = π/32 · (OD⁴ − ID⁴), A = π/4 · (OD² − ID²). Modules E, G are temperature-corrected: E(T) = E(23°C) · k(T), idem G.

Material database — 11 medical-grade polymers and 2 alloys, with temperature corrections derived from DMA measurements and literature. Pebax 35D to 72D, Nylon 12 (PA12), Pellethane TPU 75D, PEEK, PTFE, FEP, HDPE, 316L stainless, Nitinol.

For polymers, E and G drop significantly near Tg. Pebax 72D loses ~30% modulus from 23°C to 37°C; Nylon 12 and Pellethane lose ~30-35%. PEEK, PTFE, and metals are nearly insensitive in this range.

Nitinol is marked with a phase-change warning — the martensite/austenite transition near Af creates a discontinuity in mechanical behavior.

Isotropic homogeneous assumption. Real shafts are multi-layer composites with braid/coil reinforcement, multi-durometry transitions, and complex loading. These results are baseline orders of magnitude — bench testing required for final design.

Boundary condition K. The Euler factor K depends on how the shaft is constrained: 0.5 (fixed-fixed), 0.7 (fixed-pinned), 1.0 (pinned-pinned), 2.0 (cantilever). For a catheter pushed against tissue with a fixed proximal grip, K=2 is the conservative default.

Whipping convention. The torsion result expresses the angle released instantaneously when distal friction unblocks — a conservative measure of torque transmission unpredictability.

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Protobrix · R&D Tools · v0.4 — Catheter shaft mechanical behavior