Use the graph below to sketch curves that demonstrate
anticipated stress-strain behavior for two materials. One curve
should represent a typical metal, the other a typical ceramic.
Label the curves and use them to describe anticipated differences
in material properties.
For each of the following pairs of polymers, plot and label
schematic stress-strain curves on the same
graph [i.e. make separate plots for parts (a), (b) and (c)].
(a) Polychloroprene rubber having a number-average molecular
weight of 100,000 g/mol and 15% of available sites cross-linked;
liner polypropylene having a number-average molecular weight of
150,000 g/mol.
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
with temperature.
Q3. Describe viscoelasticity and examples of a
rubber/elastomer.
Describe the general theory of stress and strain. Explain the
properties and characteristics that can be determined using a
tensile test. Give general comparison of the different samples.
This should be 1-2 pages typed
By sketching the stress-strain curves for concrete and
reinforcement steel, explain the philosophy of idealization the
characteristic strength for concrete and reinforcement steel so to
be used in reinforced concrete design. Elaborate the importance of
such idealization in design.
2. In each of the following problem sketch the graph of f(y)
versus y, determine the equilibrium solutions, and classify each
one as asymptotically stable, asymptotically unstable, or
semi-stable. Draw the phase line, and sketch several graphs of
solutions in the ty-plane. Here y0 = y(0).
(a) dy/dt = e ^y − 1, −∞ < y0 < ∞
(b) dy/dt = (e^-y) − 1, −∞ < y0 < ∞
(c) dy/dt = (y^2)* (1 − y)^ 2 , −∞ <...