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Transcript

Linear Visco-Elasticity

Introduction

Injection

Extrusion

Chemical Characteristics

Molecular Structure

Plastics and composites

Rheology and mechanical properties

Manufacturing processes

chemical and physical aspects

Plastics and Composites Engineering - M5036

Blown Film
Cast Film
Fiberspinning
Definition: it is a manufacturing system in which raw polymer materials are melted, shaped, and formed into continous profiles or products.

Extrusion

Size of the die

Die opening width

Film winding speed

Bubble diameter vs. die diameter

Die diameter

Die gap

Take-up speed

Blow-up ratio

Defects
Blow Molding
Definition: it is a manufacturing process where the polymer is metled, injected into a mold cavity, cooled, and solidified to form complex, precise shapes.

Injection

Back

Copolymer

Materials formed by a combination of differents monomers

Free Radical (chain growth | Condensation (byproduct release) | Catalyst (controlled growth) | Ionic (charged initiation)

Semi-crystalline | Amorphus

Thermoplastics | Thermosets

Elastomer | Fiber | Plastics

Classification

Copolymers

Chemical Origin

Crystallinity

Thermal Behavior

Use

Polymer

Mer

Definition: Long molecules composed of repeated units called mers.

Molecular Structure - Intimate nature of polymers

Back

Tg | Tm

Molecular Weight Distribution

Polymerization is the chemical processes in which monomers form large repeating molecules known as polymers. The size of this polymer created directly influence the final product behavior. Analyzing the Molecular Weight Distribution of a sample can give you insights on the chemical and mechanical characteristics of a polymer.

Molecular Weight

Polymer

Atactic

Syndiotactic

Isotactic

Spatial Orientation

Chemical Characteristics - Intimate nature of polymers

Back

Narrow Polydispersity (PDI<1): Uniform chain lenght. Results in more consistent physical and mechanical properties.

Broad Polydispersity (PDI>1): Mix of long and short chains. May enhance toughness and processing flexibility but reduce uniformity.

Polydispersity measures the breadth of a polymer's MWD.

Mn

Mw

PDI

PDI

MWD

Weight Fraction

Molecular weight

Molecular Weight Distribution of a given polymer describes how molecular weights are distributed within a sample. This distribution significantly influences the polymer's properties, including its mechanical behavior, processing characteristics, and application performance. Each molecular weight (Mn, Mw, Mz) provides specific insights into how the MWD affects a polymer's mechanical properties.

Weight Fraction

Molecular weight

Mz

Mw

Mn

Molecular Weight Distribution (MWD)

Back

Melt strength, elastic recovery, stress relaxation; governs behavior in extreme mechanical stress scenarios.

Ductility, brittleness, initial chain entanglement; affects toughness and elongation.

Tensile strength, impact resistance, elasticity; improves load-bearing capacity and energy absorption.

Mechanical Properties Affected

Mechanical Properties Affected

NiMi

NiMi

Mechanical Properties Affected

Mw

Mi is the molecular weight of a chain and Ni is the number of chains of that molecular weight

Ni

Mz takes into account the higher molecules weights, that is the ones at right tail of the MWD curve.

NiMi

NiMi

NiMi

Mn

Mz emphasizes the contribution of the longest chains in the polymer sample

Mw takes into account the molecular weight of each chain in determining contributions to the molecular weight average.

Mn

Mn is the arithmetic mean molecular weight of all polymer chains in a sample. It gives equal weight to each chain, regardless of its size

Mz

Mw

Mn

Back

  • Tg: The temperature range where a polymer transitions from a rigid, glassy state to a rubbery, flexible state.
  • Tm: Indicates the upper thermal limit for processing and application of the polymer

Tg and Tm

  • A small sample of the polymer is placed in a pan alongside a reference pan.
  • Both pans are subjected to the same temperature program (heating, cooling, or isothermal).
  • The DSC measures the difference in heat flow between the sample and the reference as the temperature changes.

How does it works?

What is it?

Differential Scanning Calorimetry (DSC) is a thermal analysis technique used to measure the heat flow into or out of a polymer sample as it is heated, cooled, or held at a constant temperature. It provides valuable information about the thermal properties and transitions of polymers, which are critical for understanding their structure, processing, and performance.

DSC

Back

Models

Flow Curve Viscosity Curve

Rheology looks for a quantitative relation between the force applied and the resulting deformation or flow (or between the deformation or flow applied and the induced force)

Introduction to Rheology

Back

Viscoelasticity

  • For non-Newtonian materials, the dashpot alone is insufficient to capture behavior because the viscosity changes with shear rate.
    • Shear-thinning (pseudoplastic): Viscosity decreases with increasing shear rate.
    • Shear-thickening (dilatant): Viscosity increases with increasing shear rate.
  • In a purely Newtonian fluid, the dashpot is sufficient to describe the behavior. The viscosity ( 𝜂 η) is constant, meaning the stress is linearly proportional to the strain rate.
  • This corresponds to the linear, steady shear viscosity observed in low to moderate shear rate regions for Newtonian fluids.

Non-newtonian Region

Newtonian Region

Back

Elasticity Law

Viscosity Law

Ideal-elastic solidsStone | Steel

Viscoelastic solidsPaste | gels

Viscoelastic liquidsGlues | shampoos

Ideal-viscous liquidsWater | Oils

Elastic

Viscoelastic

Viscous

Back

Constant Strain

Constant Stress

Shear Viscosity

In reality, most materials are neither purely elastic nor purely viscous; they exhibit viscoelastic behavior, meaning they have properties of both solids and liquids.

Viscoelasticity is a material's property that explains and combines the viscous and elastic behavior.

Viscoelasticity

Back

Shear rate

Shear Stress

Viscous modulus

Viscosity is a measure of fluid's resistance to flow. Shear Viscosity is the fluid's resistance to deformation under a shear force (a force applied parallel to the surface of the fluid).

Shear Viscosity

G' G''

Back

Creep and Recovery vs. Moduli: Creep and recovery tests provide time-domain insights into viscoelastic behavior, while the storage modulus (𝐺′) and loss modulus (𝐺′') represent frequency-domain properties. During creep, 𝐺′ and 𝐺'′ influence deformation, with 𝐺′ governing recovery and 𝐺′′ dictating the permanent viscous strain.

Creep: describes the time-dependent deformation of a material under a constant stress. Recovery: is the time-dependent strain reduction observed after the stress is removed.

Creep and Recovery compliance

Back

  • Complex Modulus (G*):
    • Represents the total resistance to deformation
    • Magnitud of the overall material stiffness.
  • Shear Modulus (G):
    • Describes the elastic response to small deformations
  • Tan delta:
    • Ratio of G'' to G', describing the balance of viscous and elastic behavior.

G* G

  • Storage Modulus (G'):
    • Represents the elastic (solid-like behavior of a material)
    • Indicates how much energy is stored and recoverded per cycle of deformation
  • Loss Modulus (G''):
    • Represents the viscous (liquid-like) behavior of a material.
    • Indicates how much energy is lost as heat per cycle of deformation.

G' G''

Back

TTS: A principle used to extend viscoelastic data measured over a limited time or frequency range to predict material behavior over much longer times or wider frequencies.

DMA: A technique to measure a material's viscoelastic properties as a function of temperature, frequency, or time.

Relaxation modulus: A time-dependent modulus that describes how a material relaxes stress under a constant strain

Relaxation Modulus, DMA, and TTS