Solid Mechanics (solid)

Linear elastic stress analysis, eigenfrequencies. Elmer StressSolver.

Interface settings

Setting	Default	Choices / type
Discretization
Element order	Quadratic	Linear, Quadratic
2D Approximation
2D approximation	Plane strain	Plane strain, Plane stress
Elmer Solver
Additional Elmer solver keywords Lines appended verbatim to this interface’s Solver section in the .sif file		Text (multi-line)

Setting

Symbol

Unit

Default

Choices / type

Discretization

Element order

Quadratic

Linear, Quadratic

2D Approximation

2D approximation

Plane strain

Plane strain, Plane stress

Elmer Solver

Additional Elmer solver keywords
Lines appended verbatim to this interface’s Solver section in the .sif file

Text (multi-line)

Domain features

Linear Elastic Material

Selection: Domains (all by default) · Physics ribbon › Domains, or right-click the interface in the Model Builder

\(\rho\frac{\partial^2\mathbf{u}}{\partial t^2} = \nabla\cdot\mathbf{S} + \mathbf{F}_V,\quad \mathbf{S}=\mathbf{C}:\boldsymbol{\epsilon}\)

Setting Symbol Unit Default Choices / type

Setting	Symbol	Unit	Default	Choices / type
Linear Elastic Material
Young’s modulus	E		From material	From material, User defined
E	E	`Pa`	`0`	Expression
Poisson’s ratio	ν		From material	From material, User defined
nu	ν	`1`	`0`	Expression
Density	ρ		From material	From material, User defined
rho	ρ	`kg/m^3`	`0`	Expression

Linear Elastic Material

Young’s modulus

From material

From material, User defined

Pa

0

Expression

Poisson’s ratio

From material

From material, User defined

1

0

Expression

Density

From material

From material, User defined

rho

kg/m^3

0

Expression

Body Load

Selection: Domains · Physics ribbon › Domains, or right-click the interface in the Model Builder

\(\mathbf{F}_V\)

Setting Symbol Unit Default Choices / type

Setting	Unit	Default	Choices / type
Force
F_V x	`N/m^3`	`0`	Expression
F_V y	`N/m^3`	`0`	Expression
F_V z	`N/m^3`	`0`	Expression

Force

F_V x

N/m^3

0

Expression

F_V y

N/m^3

0

Expression

F_V z

N/m^3

0

Expression

Gravity

Selection: Domains · Physics ribbon › Domains, or right-click the interface in the Model Builder

\(\mathbf{F}_V = \rho\mathbf{g}\)

Setting Symbol Unit Default Choices / type

Setting	Symbol	Unit	Default	Choices / type
Gravity
g x		`m/s^2`	`0`	Expression
g y		`m/s^2`	`0`	Expression
g z		`m/s^2`	`-g_const`	Expression
Density
Density	ρ		From material	From material, User defined
rho	ρ	`kg/m^3`	`0`	Expression

Gravity

g x

m/s^2

0

Expression

g y

m/s^2

0

Expression

g z

m/s^2

-g_const

Expression

Density

From material

From material, User defined

rho

kg/m^3

0

Expression

Rotating Frame

Selection: Domains · Physics ribbon › Domains, or right-click the interface in the Model Builder

\(\mathbf{F}_V = \rho\,\Omega^2\,\mathbf{r}_\perp\)

Setting Symbol Unit Default Choices / type

Setting	Symbol	Unit	Default	Choices / type
Rotating Frame
Angular velocity e.g. n[rpm] with a parameter n, or 100[rad/s]; axis parallel to z	Ω	`rad/s`	`1000[rpm]`	Expression
Axis point, x		`m`	`0`	Expression
Axis point, y		`m`	`0`	Expression
Density
Density	ρ		From material	From material, User defined
rho	ρ	`kg/m^3`	`0`	Expression

Rotating Frame

Angular velocity
e.g. n[rpm] with a parameter n, or 100[rad/s]; axis parallel to z

rad/s

1000[rpm]

Expression

Axis point, x

m

0

Expression

Axis point, y

m

0

Expression

Density

From material

From material, User defined

rho

kg/m^3

0

Expression

Initial Values

Selection: Domains (all by default) · Physics ribbon › Domains, or right-click the interface in the Model Builder

Setting Symbol Unit Default Choices / type

Setting	Unit	Default	Choices / type
Initial Values
Displacement field x	`m`	`0`	Expression
Displacement field y	`m`	`0`	Expression
Displacement field z	`m`	`0`	Expression

Initial Values

Displacement field x

m

0

Expression

Displacement field y

m

0

Expression

Displacement field z

m

0

Expression

Boundary features

Fixed Constraint

Selection: Boundaries · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(\mathbf{u} = \mathbf{0}\)

No settings.

Prescribed Displacement

Selection: Boundaries · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(\mathbf{u} = \mathbf{u}_0\)

Setting Symbol Unit Default Choices / type

Setting	Unit	Default	Choices / type
Prescribed Displacement
Prescribed in x direction		On	Check box
u0x	`m`	`0`	Expression
Prescribed in y direction		Off	Check box
u0y	`m`	`0`	Expression
Prescribed in z direction		Off	Check box
u0z	`m`	`0`	Expression

Prescribed Displacement

Prescribed in x direction

Check box

u0x

m

0

Expression

Prescribed in y direction

Off

Check box

u0y

m

0

Expression

Prescribed in z direction

Off

Check box

u0z

m

0

Expression

Roller

Selection: Boundaries · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(\mathbf{u}\cdot\mathbf{n} = 0\)

No settings.

Symmetry

Selection: Boundaries · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(\mathbf{u}\cdot\mathbf{n} = 0\)

No settings.

Boundary Load

Selection: Boundaries · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(\mathbf{S}\cdot\mathbf{n} = \mathbf{F}_A\)

Setting Symbol Unit Default Choices / type

Setting	Symbol	Unit	Default	Choices / type
Force
Load type			Force per unit area	Force per unit area, Total force, Pressure
F_A x		`N/m^2`	`0`	Expression
F_A y		`N/m^2`	`0`	Expression
F_A z		`N/m^2`	`0`	Expression
F_tot x		`N`	`0`	Expression
F_tot y		`N`	`0`	Expression
F_tot z		`N`	`0`	Expression
Pressure	p	`Pa`	`0`	Expression

Force

Load type

Force per unit area

Force per unit area, Total force, Pressure

F_A x

N/m^2

0

Expression

F_A y

N/m^2

0

Expression

F_A z

N/m^2

0

Expression

F_tot x

N

0

Expression

F_tot y

N

0

Expression

F_tot z

N

0

Expression

Pressure

Pa

0

Expression

Spring Foundation

Selection: Boundaries · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(\mathbf{S}\cdot\mathbf{n} = -k_A\mathbf{u}\)

Setting Symbol Unit Default Choices / type

Setting	Symbol	Unit	Default	Choices / type
Spring
Spring constant per unit area	k_A	`N/m^3`	`1e9`	Expression

Spring

Spring constant per unit area

k_A

N/m^3

1e9

Expression

Free

Selection: Boundaries (all by default) · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(\mathbf{S}\cdot\mathbf{n} = \mathbf{0}\)

No settings.

Result variables

Name Description Unit

Name	Description	Unit
`solid.u_vec`	Displacement field	`m`
`solid.disp`	Displacement magnitude	`m`
`u`	Displacement field, x component	`m`
`v`	Displacement field, y component	`m`
`w`	Displacement field, z component	`m`
`solid.mises`	von Mises stress	`Pa`
`solid.sx`	Stress tensor, xx component	`Pa`
`solid.sy`	Stress tensor, yy component	`Pa`
`solid.sz`	Stress tensor, zz component	`Pa`
`solid.sxy`	Stress tensor, xy component	`Pa`
`solid.syz`	Stress tensor, yz component	`Pa`
`solid.sxz`	Stress tensor, xz component	`Pa`

solid.u_vec

Displacement field

m

solid.disp

Displacement magnitude

m

u

Displacement field, x component

m

v

Displacement field, y component

m

w

Displacement field, z component

m

solid.mises

von Mises stress

Pa

solid.sx

Stress tensor, xx component

Pa

solid.sy

Stress tensor, yy component

Pa

solid.sz

Stress tensor, zz component

Pa

solid.sxy

Stress tensor, xy component

Pa

solid.syz

Stress tensor, yz component

Pa

solid.sxz

Stress tensor, xz component

Pa