Question
In: Physics
Discuss stress and strain of materials in terms of Hooke's law. Please be detailed.
Discuss stress and strain of materials in terms of Hooke's law. Please be detailed.
Solutions
Expert Solution
the relevant state of the medium around a point must be
represented by two second-order tensors, the strain tensor
(in lieu of the displacement 
) and the stress tensor 
(replacing the restoring force 
).The analogous of Hooke's spring law for
continuous media is then
where 
is a fourth-order tensor (that is, a linear
map between second-order tensors) usually called the stiffness
tensor or elasticity tensor. One may also write it as
Hooke's law only holds for some materials under certain loading conditions. Steel exhibits linear-elastic behavior in most engineering applications; Hooke's law is valid for it throughout its elastic range
genius_generous answered 1 year agoRelated Solutions
Learning Goal: To understand the use of Hooke's law for a spring. Hooke's law states that...
Learning Goal:
To understand the use of Hooke's law for a spring.
Hooke's law states that the restoring force
F⃗ on a spring when it has been stretched or
compressed is proportional to the displacement
x⃗ of the spring from its equilibrium position.
The equilibrium position is the position at which the spring is
neither stretched nor compressed.
Recall that F⃗ ∝x⃗ means that
F⃗ is equal to a constant times x⃗ .
For a spring, the proportionality constant is called the spring
constant...
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In some materials the relationship between stress and strain during plastic deformation is given by σ...
In some materials the relationship between stress and strain
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= σy+ K(ε − εy) n where
K and n are constants. What is the energy absorbed by the
specimen during plastic deformation in a tensile test if the
material yields at a strain of εy and fails at a strain
of εf?
Hooke's Law Objective: To verify Hooke’s law that the extension of a spring is proportional to...
Hooke's Law
Objective: To verify Hooke’s law that the extension of a spring
is proportional to the stretching force applied once the elastic
limit is not exceeded.
a) Mention at least three important precautions that you take
while performing the experiment? b)Give one example where Hooke’s
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Q1. Describe mechanical properties of stress-strain behavior of a polymer and a plastic (contrast with stress-strain...
Q1. Describe mechanical properties of stress-strain
behavior of a polymer and a plastic (contrast with stress-strain
curves of ceramics and metals)
Q2. Describe variation of elastic/relaxation modulus
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Q3. Describe viscoelasticity and examples of a
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What is the advantages and disadvantages of stress strain curve. Please solve it in easy way,...
What is the advantages and disadvantages of stress strain curve.
Please solve it in easy way, clear writing so I can understand
it.
Using this table, please fill the table, draw the stress strain curve and then answer the...
Using this table, please fill the table, draw the stress strain
curve and then answer the question.
In case where the load is released at point 1 and 2 Draw and
show the permanent and the recovery deformations.
0
1
2
3
Force
0 Kn
400 Kn
650 Kn
550 Kn
Length
2 cm
2.004 cm
2.036 cm
2.049 cm
Diameter
1 cm
0.9995 cm
0.998 cm
0.996 cm
∆L/L
∆d/d
ᵋx
ᵋz
Calculate the Yield stress in the wire...
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Relate these concepts to nurse managers with respect to their
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Discuss the concepts of role strain and role stress. Relate these concepts to nurse managers with...
Discuss the concepts of role strain and role stress.
Relate these concepts to nurse managers with respect to their
positive role modeling. Does the nurse manager understand the
interrelationships of these concepts and present herself or himself
as a role model for nurses on the unit?
Discuss the concepts of role strain and role stress. Relate these concepts to nurse managers with...
Discuss the concepts of role strain and role stress. Relate
these concepts to nurse managers with respect to their postive role
modeleling. Does the nurse manager understand the
interrelationships of these concepts and present herself or himself
as a role model for nurses on the unit? Provide your reponse in an
APA formatted paper.
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