copy - Material Property Values & Conditions

Material Property Values

Below you will find information on the material property values for 3D Transversely Isotropic and 3D Orthotropic behaviour. The blue input parameter are those that must be entered in MSC Apex Generative Design. The other values are calculated automatically.

3D Transversely Isotropic

3D Orthotropic

Material Conditions

To ensure the validity of the input data, the program performs tests. The following conditions must be fulfilled for a valid material:

Isotropic Materials:

Condition 1:

-1 < ν < 0.5

Condition 2:

E ≥ 0

3D Transversely Isotropic Materials:

Condition 1

E₁>0

Condition 2

E₂>0

Condition 3

G₁₂>0

Condition 4

|ν₂|<1

Condition 5

|ν₂₁|<(E₂/ E₁)^1/2

Condition 6

|ν₁₂|<(E₁/ E₂)^1/2

Condition 7

1-ν₂²-2ν₁₂ν₂₁-2ν₂ν₁₂ ν₂₁>0

3D Orthotropic Materials:

Condition 1

E₁>0

Condition 2

E₂>0

Condition 3

E₃>0

Condition 4

G₁₂>0

Condition 5

G₁₃>0

Condition 6

G₂₃>0

Condition 7

|ν₁₂|< (E₁/ E₂)^1/2

Condition 8

|ν₁₃|<(E₁/ E₃)^1/2

Condition 9

|ν₂₃|<(E₂/ E₃)^1/2

Condition 10

1-ν₁₂ν₂₁-ν₂₃ν₃₂-ν₁₃ν₃₁-2ν₂₁ ν₃₂ ν₁₃>0

Condition 11

ν₂₁ = (E₂/ E₃)v₁₂

Condition 12

ν₃₁ = (E₃/ E₁)v₁₃

Condition 13

ν₃₂ = (E₃/ E₂)v₂₃