Static Analysis

Solves its Analysis Bodies under one Load Case for small, linear-elastic deformation, on the immersed solver: the parts stay as they are, no mesh to build.

The result carries the displacement, von Mises stress, stress and strain components and principal values as fields to drape or reuse, and #SurfaceStress, #Mean (mean cell stress), #PNorm (grading stress, a p-norm of the cells) and #MaxDisplacement as numbers; #Mean and #PNorm are levels of the result cells to grade a field by, not the part's stress figure.

Modelling choices and limits

  • A modelling choice: every edge of a thin-walled body (an Analysis Body treated as a thin wall) is rounded with a radius equal to the wall thickness before the body is hollowed to its wall and the walls are computed. On a 30 × 24 × 24 mm box with 1 mm walls this makes the result 1.5 % softer than with sharp edges (measured against a CalculiX reference).
  • Every rounded outer edge of a thin wall is analysed as the solid corner it is: the round's cross-section, from its outer radius to the wall's inner corner, is solved from the radius, the wall thickness and the material, and joins the two walls; nothing in it is fitted. A hollow box held on its bore reads within 1 % of a CalculiX reference with it. Where a Support holds the round itself, the round is clamped by the hold, so the corner's own stiffness does not apply there.

The typical surface stress

#SurfaceStress is the typical surface stress: the level 99 % of the model's surface stays at or below, by area, leaving out the surface within two result cells of a Support's faces, where a support's edge concentrates stress that belongs to the way the part is held more than to the part; each point of the surface reads the result cell that holds it. It is not the peak: peaks at sharp inner corners are not settled by any solver. It is not given where a thin wall joins solid material of its own body (a boss, a Keep solid region): there the analysis does not read stress within 10 % of fine reference models yet (a bolted box read 20.5 % high against CalculiX), and the card says so.

The deflection there is given but not validated yet: it moves with where the analysis' cells fall on the part (measured up to 17 % high on a bolted box), and the card says so too; so is the deflection of a part joined to another body that carries load with it (a plate) — a body that only holds the part (a Support's body, like a steerer or an insert's tube) is not another body. On a finished part (added material on its wall, a Reinforcement's result) the deflection is within 4 % and the stiffness ratio behind the gain within 4 %, as measured against fine reference models, and the card says so.

The von Mises stress is drawn up to the typical surface stress, or where none is given up to the highest value drawn; the cells next to the Supports show striped on the part and the legend names them.

Inputs

Bodies List of Analysis Body

The Analysis Bodies to solve, each with its Solid, its material and how it is treated: one body, or a List of them. The result covers every body: the drape, SurfaceStress, Mean, PNorm and MaxDisplacement.

Takes: Analysis Body
Connections List of Connection

Optional list of Contact, Tie and Bolted Joint connectors between the bodies. Bodies that touch are not joined unless a connector joins them.

Takes: Bolted Joint, Contact, Tie
Load case Load Case

The Load Case: its loads and supports, in world axes.

Takes: Load Case
Resolution Number

Precision — Resolution = TARGET ELEMENT COUNT (number of octree cells). Used while By cell size is off, or Cell size is 0: the band cell-size is searched (bisection) to produce ~this many material leaves, so coarse/large parts and fine/small parts auto-scale to a similar cost. Set Cell size instead for an absolute size.

By cell size Yes/No

Precision mode (By cell size): OFF (default) → Resolution (target element count) drives the octree refinement; ON → Cell size (absolute mm) drives it and Resolution is ignored.

Cell size Number

Precision (Cell size): absolute octree band leaf size in model units (mm), used when By cell size is ON. Decoupled from domain size, so a thin member gets ≥3 cells across when the cell size ≤ member/3.

Support radius Number

Radius around each support position whose nodes are fixed (a patch, not a single node, so a fixed interface doesn't read as a stress singularity).

Stress p-norm Number

The exponent of the grading stress #PNorm: the higher, the nearer it comes to its cap, the 95th percentile of the cells (~4–8 typical).

Order Choice

Element basis order (simulation setting). 'linear' (p=1) is accurate with ≥3 cells across a wall — the default; 'quadratic' (p=2) needs far fewer cells for the same accuracy, suited to bending-dominant thin shells / beam-type structures.

Solver Choice

Linear solver (simulation setting). 'default' auto-selects by order + size; 'direct' is robust but memory-heavy; 'iterative' uses less memory (for high resolution / quadratic).

Output

Analysis Result

Used by: Reaction Force

Properties

Values the block gives besides its output. The editor lists them under Properties, and an input can read one by reference.

Displacement Vector · mm

How far each point moved under the load, in mm; its .Length (the size of the move) is what the view drapes.

VonMisesStress Number · MPa

Von Mises stress across the model, drapeable and 0 outside the material; it can drive a variable wall thickness.

StressXX Number · MPa

Normal stress along x (σxx) at each point, in MPa.

StressYY Number · MPa

Normal stress along y (σyy) at each point, in MPa.

StressZZ Number · MPa

Normal stress along z (σzz) at each point, in MPa.

StressXY Number · MPa

Shear stress in the xy plane (σxy) at each point, in MPa.

StressYZ Number · MPa

Shear stress in the yz plane (σyz) at each point, in MPa.

StressXZ Number · MPa

Shear stress in the xz plane (σxz) at each point, in MPa.

StrainXX Number · ε

Normal strain along x (εxx) at each point.

StrainYY Number · ε

Normal strain along y (εyy) at each point.

StrainZZ Number · ε

Normal strain along z (εzz) at each point.

StrainXY Number · ε

Tensor shear strain in the xy plane (εxy) at each point.

StrainYZ Number · ε

Tensor shear strain in the yz plane (εyz) at each point.

StrainXZ Number · ε

Tensor shear strain in the xz plane (εxz) at each point.

PrincipalStress1 Number · MPa

Largest principal stress (σ1) at each point, in MPa.

PrincipalStress2 Number · MPa

Middle principal stress (σ2) at each point, in MPa.

PrincipalStress3 Number · MPa

Smallest principal stress (σ3) at each point, in MPa.

PrincipalStrain1 Number · ε

Largest principal strain (ε1) at each point.

PrincipalStrain2 Number · ε

Middle principal strain (ε2) at each point.

PrincipalStrain3 Number · ε

Smallest principal strain (ε3) at each point.

DofCount Number

How many degrees of freedom the solved system had.

ElementCount Number

How many finite elements (material octree leaves) the solve used.

NodeCount Number

How many FE nodes the solve used.

SurfaceStress Number · MPa

Typical surface stress (99 % of the surface stays under this): the level 99 % of the model's surface stays at or below, by area, the surface within two result cells of a Support's faces left out; each point of the surface reads the result cell that holds it. Not the peak: peaks at sharp inner corners are not settled by any solver. Not given where no surface lies away from the Supports, nor where a thin wall joins solid material of its own body (a boss, a Keep solid region): the result card says why.

Mean cell stress Number · MPa

Mean cell stress: the average von Mises stress over the material's result cells, by count. Not the part's stress figure: that is SurfaceStress.

Grading stress (p-norm) Number · MPa

Grading stress (p-norm): a p-norm of the von Mises stress over the material's result cells, each capped at the 95th percentile of them first (the Stress p-norm input is its exponent), so never above that percentile — a smooth level to grade a field by. Not the part's stress figure: that is SurfaceStress.

MaxDisplacement Number · mm

The farthest any node moved, in mm.

In the demos

What implicit modeling is

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