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Young’s Modulus and Tensile Strength: All you need to know

Introduction

When designing a technical piece, you need to know the properties of the material you are going to use in order to know how it will behave, and to prevent any ruptures or breaks. Several physical entities can be used to do so, and the most common ones are Young’s modulus, or modulus of elasticity, and ultimate strength, to understand how the material reacts under tension or compression . These characteristics are often given by raw material providers, however they heavily depend on the production process you are going to use. This is why the Sculpteo team conducted its own tests in order to bring you the most exhaustive results about materials properties.

In this blog post, we are going to focus on Young’s modulus, but keep in mind that there are also other elastic moduli, such as shear modulus, bulk modulus or Poisson’s ratio.

General definitions

What is Young’s modulus?

Young’s modulus, also known as the tensile modulus, elastic modulus or traction modulus (measured in Pa, which is a pressure unit(N.m^-2; 10MPa is equivalent to 1Kg  force per square millimeter) is a mechanical property of linear elastic materials. It,  evaluates the elasticity of rigid or solid materials, which is the relation between the deformation of a material and the power needed to deform it. For example, a stiff material needs more force to deform compared to a soft material. Rubber has a 1MPa modulus, and iron has a 200GPa modulus (200.000 times more). For the same force applied to a sample with the same thickness, the rubber samples will extend 200.000 times more.
The deformation of a physical object depends first of all on the design geometry. Indeed, it’s easy to understand that a thick piece is harder to deform than a thin one.

The relation between force and deformation is the following :

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Where:
-Epsilon is the  elongation (Length / original  Length) no unit
–Sigma is the stress in PA or PSI
– F is the force in N or lbf
– s is the transverse section in m² or in²

Applying  a 400Kilo-force (4000N) to a 2cm radius (0.00126 section) 2 meter long steel rod with a Young’s modulus of 200 GPa, the rod will deform off 4000/(0.00126* 200.000.000)=0.016 and the rod will now measure 2.032m

What is tensile strength?

Tensile strength is the value of the maximum stress that a material can handle. This is the limit between plasticity zone and rupture zone.
It’s important to notice the difference between resistance and elasticity.
A rubber band is easier to deform that a spaghetti but it’s harder to break.

What is elongation at break ?

Elongation at break is the elongation that a material can withstand before breaking.It has no unit.
A rod of 10 cm at rest that is 15 before at break has an elongation at break of 0.5 sometimes written 50%.

Stress-strain curve

There are mainly 3 types of behavior for a material, depending (among other variables) on the strength you use to deform it. Each of these behaviors are separated by yield points on the engineering stress-strain curve:

  • Before the first yield point, the material will have an elastic behavior, which means that it will go back to its initial state if we release the applied strength.
  • Beyond the elastic limit, the material will have a plastic behavior, and permanent deformation will occur. For example, modeling clay always has a plastic behavior.
  • Finally, if the strength applied is too big, then the material will reach the ultimate strength point rupture point. After this,the  This is where it will break, but as it is linked to a lot of variables, such as the geometry of the object, it is difficult to know exactly when it will occur.
stress-strain-curves (1)

Operating mode

What is a tensile test?

A tensile test is an experimental measure, where you try to elongate an object, while measuring the strength you are using to do so. The elongation process is made with a constant speed, until we reach the breaking point. This gives us everything we need to draw a force curve based on the elongation. Thanks to those values, we are then able to deduce the elasticity modulus of the material, and its elongation at the rupture point.

In order to ensure that our results are pertinent we have been following the recommendations of normatives agencies for plastic injection since 3D printing norms have not been developed yet (ISO 527-2 1BA). Theses specimens have bigger extremities to ensure that the maximal stress and strain will be concentrated in the central part. Each test has been performed on at least 5 specimens.

specimen (1)

Test results

Tests have been performed on flexible Plastic, Nylon, black Nylon, glass filled Nylon, Carbonmide and Alumide.

Homogeneous materials:

SLS Nylon (PA12)

Our White PA12 objects are made thanks to Laser Sintering, layer by layer, which means that the properties of our material are not the same in every directions. That is what we call an anisotropic material. Indeed, cohesion between two layers is weaker than between the grains of powder of a same layer. When pulled perpendicularly, the material yields more easily than in the direction of the layers.

We get on average:

  • A Young’s modulus of 1,78GP for horizontal prints and 1,52GPa for vertical prints
  • A strain at break of 21% along the layers and of only 8% perpendicularly
  • A tensile strength of 48MPa along the layers and of 35MPa perpendicularly to the layers.

Effects of dyeing

Dyeing is a treatment wherein our plastic is dipped in a dyeing bath at an elevated temperature, which may change the properties of the material. However, the changes seem minor if we look at the results, and the data from the white PA can be used as reference.

Effects of our Smoothing Beautifier process

Chemical smoothing is a physicochemical process that modifies the surface properties of the plastic to give it a shiny appearance. It seems reasonable to verify that this treatment does not alter the properties of PA12 too. In practice, we have observed that the treated surface is more brittle, but with thicknesses of more than 2mm, the properties of the white plastic remain unchanged.

Multijet Fusion (PA12)

MJF PA12 is produced with Multijet fusion technology  and is a material with great properties for your prototyping and production processes. As a non filled Polyamide material, its mechanical properties are balanced between stiffness, elongation at break and tensile strength.

We get on average:

  • A Young’s modulus of 1,7GPa for horizontal prints and 1,9GPa for vertical prints, which are very similar
  • An elongation at break of 17% along the layers and of only 9% vertically
  • A tensile strength of 50MPa along the layers and perpendicularly to the layers.

Flexible Plastic (TPU)

SLS TPU is, as its name states it, an extremely flexible material. However, we can realize that the TPU almost doesn’t have any linear behavior, hence why we prefer not to make any statement on its Young’s modulus.

Nevertheless, we get in average:

  • An elongation at break of 270% (printing in X direction), and 130% (printing in Z direction)
  • A tensile strength of 7-8MPa

Composites materials:

Theses materials are Nylon based composites with reinforcements. They are added in order to make the material more lightweight or stronger.

Grey Glass filled Nylon:


Grey GF Nylon is a Nylon based material reinforced with microscopic glass balls, it makes the structure stronger in the layer orientation but more breakable in the perpendicular direction.
It is a bit more brittle on z direction and more plastic in x,y direction.

  • Young modulus 3,2 GPa in x,y printing and 2,5 GPa in z printing.
  • Tensile strength 48 MPa in x,y printing and 42 MPa in z printing.
  • Strain at break 9% in x,y printing and 5,5% in z printing.

Polyamide 11 (PA11) Carbon filled:


PA11 CF is a Nylon 11 bio derived material made of castor seed oil, reinforced with carbon fibers. This material displays outstanding stiffness, and a very good elasticity, with tensile modulus that varies from 2 to 5,9 GPa

  • Young modulus : (dry) 5900 MPa (X) / 2500 MPa (Z) – (conditionned) : 4550MPa (X) / 2000 MPa (Z)
  • Tensile strength : (dry) : 82 MPa (X) / 55 MPa (Z) / (conditionned)71 MPa (X) / 48 MPa (Z)
  • Elongation at Break : (dry) 7% (X) / 11% (Z) / (conditioned)11% (X) / 17% (Z)

Unsure about what material to use ?

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What does a high Young's modulus mean?

How do you calculate Young's modulus?

Is Young's modulus the same as elastic modulus?

Why is Young's modulus important?

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