Flexibility

Last update on Aug 12, 2025

Flexural Modulus or Bend Modulus
 

Flexibility is a property of a polymers that is described by Flexural modulus or bending modulus of elasticity. It is therefore one of the most important properties of solid materials. 

Flexural Modulus denotes the ability of a material to bend. It is a measure of a materials stiffness/ flexibility when a force is applied perpendicular to the long edge of a sample - known as the three point bend test.

 The flexural modulus is represented by the slope of the initial straight line portion of the stress-strain curve and is calculated by dividing the change in stress by the corresponding change in strain. Hence, the ratio of stress to strain is a measure of the flexural modulus.

The property is often used to measure flexibility of plastic materials
 

It is called as 'modulus of elasticity in bending,' but other names are also used, such as modulus of elasticity, elastic modulus, or simply modulus.

  • The International Standard unit of Flexural Modulus is the pascal (Pa or N/m2 or m-1.kg.s-2).
  • The practical units used are megapascals (MPa or N/mm2) or gigapascals (GPa or kN/mm2).
  • In the US customary units, it is expressed as pounds (force) per square inch (psi).

 

The higher the Flexural Modulus, the stiffer the material
 
The lower the Flexural Modulus, the more flexible it is
 

Flexural modulus is important because:

  • It influences composite selection in high stress situations
  • It helps to improve design quality for load bearing applications

 

Further, flexibility is an important end-use property for elastomers. The glass transition temperature, Tg (temp. at which an elastomer upon cooling goes from a flexible more rubber-like form to a more rigid inflexible form) is a critical parameter in determining the suitability of the elastomer for specific applications.

Plots of flexural storage modulus (in GPa) versus specimen temperature by DMA are very useful in evaluating the stiffness and flexibility of polymeric materials. 

How to Measure Flexural Modulus (Stiffness)?


 

Most commonly used standards to measure Flexural Modulus are ASTM D790 and ISO 178.

Ofcourse there exist several other methods as well as listed below, but they are not discussed here.

 

ASTM D790 and ISO 178 Test Methods


 

These are specifies methods for determining the flexural properties (bending properties) of reinforced and unreinforced plastics and electrical insulation materials.

The values are significantly different from the tensile modulus because the stress pattern in the specimen is a combination of tension and compression. The data is useful for comparing the strength and stiffness of different plastics when a load carrying part is subjected to bending in service.

ISO 178 standard describes a similar method for determining flexural properties.
 

  • For ASTM D790, the test is stopped when the specimen reaches 5% deflection or the specimen breaks before 5%.
  • For ISO 178, the test is stopped when the specimen breaks. If the specimen does not break, the test is continued as far a possible and the stress at 3.5% (conventional deflection) is reported.


 

Check out an interesting video showing method to test elastic modulus


 


 

Source: Instron®


 

Since the physical properties of many materials (especially thermoplastics) can vary depending on ambient temperature, it is sometimes appropriate to test materials at temperatures that simulate the intended end use environment.


Flexural Modulus – Impact of Fillers and Blends


 

Also, addition of fillers increases the stiffness or flexural modulus of a polymer system, especially polyolefins (PP, TPOs…) & hence decreases the flexibility. Selection of filler majorly depends on its aspect ratio and particle size. Higher the aspect ratio, high is the stiffness. For example, talc has high aspect ratio, typically 20:1, and is one of the most efficient minerals for improving flexural modulus.

Epoxy resins have excellent tensile strength and flexible modulus as well as detergent resistance, they have low resistance to gamma radiation, poor heat distortion performance, and a poor wear properties. They are also expensive and have a poor volume sensitivity and surface finish.

The addition of a thermothropic liquid crystalline aromatic polyester produces an improvement in the tensile strength and modulus of blends with polyether ketone while simultaneously producing a significant decrease in elongation at break. (Son and co-workers)


Flexural Modulus Values of Several Plastics


 

Polymer NameMin Value (Gpa)Max Value (Gpa)
ABS - Acrylonitrile Butadiene Styrene 1.602.40
ABS Flame Retardant2.004.00
ABS High Heat2.003.00
ABS High Impact1.002.50
ABS/PC Blend - Acrylonitrile Butadiene Styrene/Polycarbonate Blend2.002.30
ABS/PC Blend 20% Glass Fiber5.906.10
ABS/PC Flame Retardant2.503.0
Amorphous TPI Blend, Ultra-high heat, Chemical Resistant (High Flow)3.003.00
Amorphous TPI, High Heat, High Flow, Lead-Free Solderable, 30% GF9.009.00
Amorphous TPI, High Heat, High Flow, Transparent, Lead-Free Solderable (High Flow)0.120.12
Amorphous TPI, High Heat, High Flow, Transparent, Lead-Free Solderable (Standard Flow)2.852.85
Amorphous TPI, Highest Heat, Chemical Resistant, 260C UL RTI3.603.60
Amorphous TPI, Moderate Heat, Transparent3.083.08
Amorphous TPI, Moderate Heat, Transparent (Food Contact Approved)3.083.08
Amorphous TPI, Moderate Heat, Transparent (Mold Release grade)3.073.07
Amorphous TPI, Moderate Heat, Transparent (Powder form)3.083.08
ASA - Acrylonitrile Styrene Acrylate1.502.40
ASA/PC Blend - Acrylonitrile Styrene Acrylate/Polycarbonate Blend2.002.60
ASA/PC Flame Retardant2.502.50
ASA/PVC Blend - Acrylonitrile Styrene Acrylate/Polyvinyl Chloride Blend2.002.20
CA - Cellulose Acetate0.602.80
CAB - Cellulose Acetate Butyrate0.602.10
CP - Cellulose Proprionate0.451.40
COC - Cyclic Olefin Copolymer2.503.50
CPVC - Chlorinated Polyvinyl Chloride2.503.20
ETFE - Ethylene Tetrafluoroethylene 0.801.40
ECTFE1.701.70
EVA - Ethylene Vinyl Acetate0.0070.10
EVOH - Ethylene Vinyl Alcohol2.805.80
FEP - Fluorinated Ethylene Propylene0.300.70
HDPE - High Density Polyethylene0.751.575
HIPS - High Impact Polystyrene 1.503.00
HIPS Flame Retardant V02.002.50
Ionomer (Ethylene-Methyl Acrylate Copolymer)0.030.50
LCP - Liquid Crystal Polymer10.019.0
LCP Carbon Fiber-reinforced31.037.0
LCP Glass Fiber-reinforced13.024.0
LCP Mineral-filled12.020.0
LDPE - Low Density Polyethylene0.2450.335
LLDPE - Linear Low Density Polyethylene0.280.735
PA 11 - (Polyamide 11) 30% Glass fiber reinforced3.003.00
PA 11, Conductive0.580.64
PA 11, Flexible0.290.35
PA 11, Rigid1.001.48
PA 12 (Polyamide 12), Conductive0.740-
PA 12, Fiber-reinforced3.0013.70
PA 12, Flexible0.360.46
PA 12, Glass Filled1.752.00
PA 12, Rigid1.171.48
PA 46 - Polyamide 461.003.20
PA 46, 30% Glass Fiber7.803.20
PA 6 - Polyamide 60.802.00
PA 6-10 - Polyamide 6-101.002.00
PA 66 - Polyamide 6-60.803.00
PA 66, 30% Glass Fiber5.008.00
PA 66, 30% Mineral filled3.904.10
PA 66, Impact Modified, 15-30% Glass Fiber3.007.00
PA 66, Impact Modified0.801.20
PA 66, Carbon Fiber, Long, 30% Filler by Weight18.0018.00
PA 66, Carbon Fiber, Long, 40% Filler by Weight24.0024.00
PA 66, Glass Fiber, Long, 40% Filler by Weight10.5010.50
PA 66, Glass Fiber, Long, 50% Filler by Weight13.0013.00
PA 66, Glass Fiber, Long, 60% Filler by Weight17.0017.00
Polyamide semi-aromatic1.802.11
PAI - Polyamide-Imide4.007.00
PAI, 30% Glass Fiber11.0015.00
PAI, Low Friction5.007.00
PAN - Polyacrylonitrile3.103.80
PAR - Polyarylate2.002.30
PARA (Polyarylamide), 30-60% glass fiber11.0021.00
PBT - Polybutylene Terephthalate2.004.00
PBT, 30% Glass Fiber9.0011.50
PC (Polycarbonate) 20-40% Glass Fiber6.0010.00
PC (Polycarbonate) 20-40% Glass Fiber Flame Retardant7.008.00
PC - Polycarbonate, high heat2.202.50
PC/PBT Blend - Polycarbonate/Polybutylene Terephthalate Blend1.603.90
PC/PBT blend, Glass Filled2.806.90
PCL - Polycaprolactone0.500.60
PCTFE - Polymonochlorotrifluoroethylene1.201.50
PE - Polyethylene 30% Glass Fiber4.905.60
PEEK - Polyetheretherketone3.704.00
PEEK 30% Carbon Fiber-reinforced13.0019.00
PEEK 30% Glass Fiber-reinforced9.0010.00
PEI - Polyetherimide3.003.40
PEI, 30% Glass Fiber-reinforced9.009.00
PEI, Mineral Filled5.007.00
PEKK (Polyetherketoneketone), Low Crystallinity Grade3.303.40
PESU - Polyethersulfone2.502.70
PESU 10-30% glass fiber3.808.40
PET - Polyethylene Terephthalate2.803.50
PET, 30% Glass Fiber-reinforced9.0012.00
PET, 30/35% Glass Fiber-reinforced, Impact Modified7.009.00
PETG - Polyethylene Terephthalate Glycol2.202.20
PFA - Perfluoroalkoxy0.700.80
PHB - Polyhydroxybutyrate3.003.20
PI - Polyimide2.484.10
PLA - Polylactide3.803.80
PMMA - Polymethylmethacrylate/Acrylic2.503.50
PMMA (Acrylic) High Heat2.504.30
PMMA (Acrylic) Impact Modified1.503.50
PMP - Polymethylpentene0.801.50
PMP 30% Glass Fiber-reinforced5.006.00
PMP Mineral Filled1.702.00
POM - Polyoxymethylene (Acetal)2.803.70
POM (Acetal) Impact Modified1.402.30
POM (Acetal) Low Friction2.003.00
POM (Acetal) Mineral Filled4.005.50
PP - Polypropylene 10-20% Glass Fiber2.503.50
PP, 10-40% Mineral Filled1.403.10
PP, 10-40% Talc Filled1.504.00
PP, 30-40% Glass Fiber-reinforced4.007.00
PP (Polypropylene) Copolymer1.001.40
PP (Polypropylene) Homopolymer1.201.60
PP Homopolymer, Long Glass Fiber, 30% Filler by Weight5.505.50
PP Homopolymer, Long Glass Fiber, 40% Filler by Weight7.007.00
PP Homopolymer, Long Glass Fiber, 50% Filler by Weight9.009.00
PP, Impact Modified0.401.00
PPA - Polyphthalamide2.103.70
PPA, 30% Mineral-filled5.405.60
PPA, 33% Glass Fiber-reinforced11.3011.50
PPA, 33% Glass Fiber-reinforced – High Flow10.0012.00
PPA, 45% Glass Fiber-reinforced13.7013.90
PPE - Polyphenylene Ether2.102.80
PPE, 30% Glass Fiber-reinforced7.009.00
PPE, Flame Retardant2.402.50
PPE, Impact Modified2.102.80
PPE, Mineral Filled2.903.50
PPS - Polyphenylene Sulfide3.804.20
PPS, 20-30% Glass Fiber-reinforced6.0012.00
PPS, 40% Glass Fiber-reinforced12.0015.00
PPS, Conductive17.0019.00
PPS, Glass fiber & Mineral-filled10.0017.00
PPSU - Polyphenylene Sulfone2.382.41
PS (Polystyrene) 30% glass fiber10.0010.00
PS (Polystyrene) Crystal2.503.50
PS, High Heat3.003.50
PSU - Polysulfone2.703.00
PSU, 30% Glass fiber-reinforced7.008.50
PSU Mineral Filled4.005.00
PTFE - Polytetrafluoroethylene0.400.80
PTFE, 25% Glass Fiber-reinforced1.401.70
PVC (Polyvinyl Chloride), 20% Glass Fiber-reinforced             4.507.00
PVC, Plasticized0.0011.80
PVC, Plasticized Filled0.0011.000
PVC Rigid2.103.50
PVDC - Polyvinylidene Chloride0.350.60
PVDF - Polyvinylidene Fluoride1.502.00
SAN - Styrene Acrylonitrile3.504.20
SAN, 20% Glass Fiber-reinforced7.009.00
SMA - Styrene Maleic Anhydride2.303.30
SMA, 20% Glass Fiber-reinforced5.006.00
SMA, Flame Retardant V01.902.00
SMMA - Styrene Methyl Methacrylate2.003.20
SRP - Self-reinforced Polyphenylene6.208.30
TPI-PEEK Blend, Ultra-high heat, Chemical Resistant, High Flow, 240C UL RTI3.603.60
UHMWPE - Ultra High Molecular Weight Polyethylene0.450.60
XLPE - Crosslinked Polyethylene0.353.50