37 Questions
What is the purpose of normalizing the stimulus and response with respect to the geometry of the system?
To make sure the measured property is always the same regardless of the shape and boundary conditions of the experiment
What is an example of a variable that is intrinsic to the behavior of the material?
Temperature
What is obtained by dividing the elongation of the specimen by its initial length?
Strain
What is the name of the function that defines the property of the material, independent of the geometry?
Constitutive equation
What is an example of a parameter that describes the structural state of the material?
Degree of crystallinity
What is the result of calculating the stress by dividing the applied force by the cross-sectional area of the specimen?
Stress
Why is it important to separate the intrinsic variables from those who are not?
To identify the parameters that characterize the behavior of the material per se
What is the result of normalizing the stimulus and response with respect to the geometry of the system?
A property that characterizes the behavior of the material per se
What is the term used to describe the localized collapse of the specimen section?
Necking
What is the limitation of traditional datasheets in describing material behavior?
They only provide a limited description of material behavior
What is the name of the ISO standard that introduced a new methodology for representing materials data?
ISO 11403
What type of curves are shown in Figure 1.3?
Multipoint data curves
What is the effect of the shear rate on the shear viscosity of a polymer in Figure 1.3(a)?
It decreases the shear viscosity
What is the purpose of the ISO 11403 standard?
To introduce a new way of characterizing material behavior
What is the term used to describe the maximum stress value recorded before the final failure of the specimen?
Fracture point
What is the main advantage of describing material behavior using multipoint data?
It provides a more comprehensive description of material behavior
What is fracture toughness considered to be?
An intrinsic property of the material
What type of material properties does susceptibility belong to?
Magnetic
What is the assumption of the theory of continuum mechanics?
Material maintains its continuity under mechanical action
What is the purpose of distinguishing between generic and intrinsic material properties?
To design engineering components reliably
What type of material properties does refractive index belong to?
Optical
What is the significance of intrinsic material properties in engineering design?
They are used for designing engineering components reliably
What type of material properties does density belong to?
Physical
What type of material properties does coefficient of thermal expansion belong to?
Thermal
Which of these options are correct? (Select all that apply)
Option 3
This is an example statement that is true
False
Example question?
example answer
The ______ barked
dog
Match the following programming languages with their primary usage:
Python = General-purpose programming JavaScript = Client-side scripting for web applications SQL = Database queries CSS = Styling web pages
What is the minimum number of stress vectors required to fully characterize the stress state at any point P of the body?
Three
How can any stress vector be reduced to scalar quantities?
By multiplying the modulus of the vector by the versor
What is the total number of scalar components obtained by decomposing the stress vectors?
Nine
What do the components along the main diagonal of the stress matrix represent?
Normal stresses
What is the relationship between 𝜎(ij) and 𝜎(ji) for i ≠ j?
𝜎(ij) = 𝜎(ji)
What do the components outside the diagonal of the stress matrix represent?
Shear stresses
What is the purpose of decomposing the stress vector into scalar components?
To obtain a more intuitive representation of stress
What is the significance of the first index in the stress matrix?
It identifies the normal to the plane on which the stress vector is applied
Study Notes
Material Properties Definition
- Material properties are identified by a value or quantity with an associated unit of measurement.
- Most material information in literature or technical datasheets is represented in this way.
Rheological Properties
- Molding shrinkage (parallel) is 0.95% as per ISO 294-4.
- Molding shrinkage (normal) is 0.95% as per ISO 294-4.
Mechanical Properties
- Tensile modulus is 3200/1000 MPa as per ISO 527-1/-2.
- Yield stress is 85/45 MPa as per ISO 527-1/-2.
- Yield strain is 4/25% as per ISO 527-11-2.
- Nominal strain at break is 20/>50% as per ISO 527-11-2.
- Flexural modulus is 2600/- MPa as per ISO 178.
- Flexural strength is 100/- MPa as per ISO 178.
- Charpy impact strength at +23°C is N/N kJ/m² as per ISO 179/1eU.
- Charpy impact strength at -30°C is N/N kJ/m² as per ISO 179/1eU.
- Charpy notched impact strength at +23°C is 8/35 kJ/m² as per ISO 179/1EA.
- Charpy notched impact strength at -30°C is 5/5 kJ/m² as per ISO 179/1eA.
Thermal Properties
- Melting temperature at 10°C/min is 220/* °C as per ISO 11357-1/-3.
- Temperature of deflection under load at 1.80 MPa is 65/* °C as per ISO 75-1/-2.
- Temperature of deflection under load at 0.45 MPa is 185/* °C as per ISO 75-1/-2.
- Coefficient of linear thermal expansion (parallel) is 0.9/* 10⁴/°C as per ISO 11359-1/-2.
- Coefficient of linear thermal expansion (normal) is 1/* 10⁴/°C as per ISO 11359-11-2.
- Burning behavior at 1.5 mm nominal thickness is V-2/* class as per IEC 60695-11-10.
- Thickness tested for burning behavior is 1.5/* mm as per IEC 60695-11-10.
- Burning behavior at thickness h is V-2/* class as per IEC 60695-11-10.
- Thickness tested for burning behavior at thickness h is 0.75/* mm as per IEC 60695-11-10.
- Oxygen index is 26/* % as per ISO 4589-1/-2.
Electrical Properties
- (No data provided)
Intrinsic Property Definition
- Intrinsic properties cannot be identified without an external stimulus and measuring the material's response.
- A property is defined by measuring the material's response to a stimulus.
Schematic Analysis of Measuring Material Properties
- The measurement process involves applying a stimulus (input) and recording the material's response (output).
- Examples of stimuli and responses:
- Mechanical force → Displacement
- Electric voltage → Current intensity
- Temperature gradient → Heat flow
- Light radiation → Colour
Stimulus and Response
- The stimulus can be any chemical-physical entity, such as mechanical force, electric voltage, or temperature gradient.
- The response can be of the same nature as the stimulus (e.g., deformation from a force) or different (e.g., piezoelectric materials generating electrical polarization from deformation).
- The material response is not a property in itself, but rather a relationship between the stimulus and response.
Property Definition
- A property is a quantity defined through an equation or function.
- The function is usually multi-variable, considering factors such as:
- Type of stress applied (force, strain, etc.)
- Geometry of the body and boundary conditions (beam, plate, bending, torsion, etc.)
- Environmental conditions
- Observation time
- Structural state of the material
Material Behavior and Characterization
- The load curve of a material can be described by specific points, such as the yield stress, ultimate strength, and fracture point, but this approach provides a limited description of the material's behavior.
- The traditional method of characterizing material behavior using single values has limitations, leading to the development of a new approach based on functions instead of single values.
Multipoint Data Representation
- The ISO 11403 standard, published in 1999, provides a new methodology for representing materials data using multipoint data.
- Multipoint data representation can capture the trend of a property when certain characteristic variables of the physical phenomenon under examination vary.
- Examples of multipoint data representation include rheological and isochronous stress-strain curves.
Intrinsic Material Properties
- Intrinsic material properties are independent of the shape, size, and boundary conditions of the physical system on which the property is measured.
- Examples of intrinsic material properties include fracture toughness, magnetic susceptibility, electrical dielectric constant, optical refractive index, thermal conductivity, and physical density.
- Intrinsic material properties are essential for engineering design, as they can be used with confidence and reliability for designing components.
Continuum Mechanics
- Continuum mechanics is a theory that assumes material subjected to mechanical action maintains its continuity, and the effect of applying a stress at one point propagates instantaneously to all points of the body.
- The theory is applicable when the stresses or strains are kept low (infinitesimal).
Stress and Strain
- Stress is defined as the force normalized with respect to the geometry, obtained by dividing the applied force by the cross-sectional area of the specimen.
- Strain is defined as the elongation of the specimen divided by its initial length.
- The stress acting at a point in a body can be defined by imagining to cut the body with a plane through the point, showing the internal forces acting on the imaginary surface.
Stress Tensor
- The stress tensor is a set of vectors acting at a point in the body, which can be represented by a matrix of nine scalar components.
- The stress tensor can be decomposed into scalar quantities by projecting the stress vectors along each reference axis.
- The stress tensor can be used to describe the state of stress at a point in the body, including normal and shear stresses.
This quiz covers the traditional concept of material properties, including rheological properties such as molding shrinkage. It also discusses the units of measurement and test methods.
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