Role of Friction on Wear , Stick Slip
Friction , Creep & Stress Rupture
S.P.KAPILAN(16MD34)
M.E.Engineering Design
OUTLINE
Introduction
Role
of friction in wear
Stick slip phenomenon
Creep
Stress rupture
INTRODUCTION
STRESS- is a physical quantity that ex
TYPES OF WEAR, ANALYSIS
OF WEAR FAILURE, WEAR AT
ELEVATED TEMPERATURE
BY
P.GOKUL
S.G.HARISH
(16MD32 & 33)
DESIGN FOR FAILURE ANALYSIS
TECHNOLOGY
PSG COLLEGE OF
1
WEAR
Wear is a process of removal of material from one or both of two
solid surfaces in soli
TYPES OF WEAR
AND
WEAR IN DIFFERENT MATERIALS
BY
P.GOKUL
(16MD32)
DESIGN FOR FAILURE ANALYSIS
TECHNOLOGY
PSG COLLEGE OF
1
WEAR
Wear is a process of removal of material from one or both of two
solid surfaces in solid state contact, occurring when these tw
Material life cycle energy
consumption , eco selection
By
T Ajay Kumar(16md11)
Abinash (16md31)
We are going learn about
In context we see the role of materials and processes in
achieving design for environment .
But sustainability requires social and pol
Elevated temperature
fatigue and
Metallurgical
instabilities
Vishnu Sashank K
16MD36
Elevated temperature
fatigue
Material properties are dependent on the
temperature. The tensile strength, yield
strength and modules of elasticity decrease
with increasing
ENVIRONMENTALLY INDUCED
FAILURES & FAULT TREE ANALYSIS
PRIYANKA ESTHER VICTOR
16MD35
Introduction
Environmentally induced failures can be classified as Stress
corrosion cracking and Environmental stress cracking.
Stress-corrosion cracking (SCC) is a ter
RAPID CRACK PROPOGATION
JANAKIRAMAN M
16MD04
INTRODUCTION
Metals and ceramics also exhibit rate-dependent
deformation (creep) at temperatures that are close to
the melting point of the material.
The mechanical behavior of polymers is highly
sensitive to
LABORATORY MEASUREMENT OF J
SATHISH KUMAR R(16MD09)
SILAMBARASAN S(16MD10)
THE J CONTOUR INTEGRAL
Thus the J integral can be viewed as both an energy parameter and a stress intensity parameter.
Nonlinear energy release rate J could be written as a path
CREEP CRACK GROWTH
C*integral
JANARTHANAN (16MD05)
JEGAVEERAPANDIAN (16MD06)
CREEP
Creep Slow deformation, when it is
subjected to high temperature for a long
time.
Mainly depends upon the temperature on
which the material is subjected & the
time up to
VISCOELASTIC J INTEGRAL
By
KARTHIKEYAN P
16MD08
VISCOELASTIC J INTEGRAL
Constitutive
Equations
Correspondence
Generalized
Principle
J Integral
CONSTITUTIVE EQUATIONS
Schapery derived a nonlinear viscoelastic
constitutive equation in the form of a hered
CREEP CRACK GROWTH AND
C* INTEGARAL
JEGAVEERAPANDIAN. S
16MD06
CREEP CRACK GROWTH:
Components that operate at high temperatures relative to the melting point of the
material may fail by the slow and stable extension of a macroscopic crack.
Traditional app
Dynamic Contour
Integrals
Submitted by
D GOBINSTHAN (16md03)
M.E(ENGG.DESIGN)
The original formulation of the J contour integral is equivalent to the
nonlinear elastic energy release rate for quasi static deformation
By a more general definition of ener
DYNAMIC FRACTURE AND RAPID
LOADING OF STATIONARY CRACK
-by 16MD01
16MD02
DYNAMIC FRACTURE
INTRODUCTION
At high loading rates, inertia effects and
material rate dependence can be significant.
Metals and ceramics also exhibit ratedependent deformation (cr
16.225 - Computational Mechanics of Materials
Homework assignment # 1
1. Verify that the Euler-Lagrange equations corresponding to the HuWashizu functional are the eld equations of linear elasticity.
2. Consistency test for constitutive models with a pot
16.225 - Computational Mechanics of Materials
Homework assignment # 2
The main objective of this assignment is to add capability to your version
of sumMIT to solve linear elasticity problems. Details of the data structures
and additional aspects of the pr
16.225 - Computational Mechanics of Materials
Homework assignment # 3
1. Behavior of the 3-node simplex element in the incompressible limit.
Using the 3-node simplex element, repeat the plane-strain, plate-withhole calculations of the previous assignment
16.225 - Computational Mechanics of Materials
Homework assignment # 4
Consider a nonlinear elastic solid described by the strain energy density:
W = k[J log(J ) J ] + trCdev
2
where
Cdev = J 2/3 C
and k and are material constants. For this model material,
16.21 Techniques of structural analysis and
design
Homework assignment # 3
Warmup exercises (not for grade)
Problem 3.23 from textbook
Problem 3.24 from textbook
Problem 3.25 from textbook
(Compliments of C. Gra.) Create a solid model of
the at plate
16.21 Techniques of Structural Analysis and
Design
Unit #9 Calculus of Variations
Let u be the actual conguration of a structure or mechanical system. u
satises the displacement boundary conditions: u = u on Su . Dene:
u = u + v, where:
: scalar
v : arbi
16.21 Techniques of structural analysis and design
Homework assignment # 4
Solidworks practice problem (Compliments of C. Gra. ) Create a solid model
for each of the following objects using Solidworks (you may turn in your le
electronically for feedback p
16.21 Techniques of structural analysis and
design
Homework assignment # 2
1. Determine whether the following stress elds are possible in a structural
member free of body forces:
(a) (not for grade)
11 = 3x1 + 6x2
12 = 4x1 + 3x2
22 = 5x1 + 4x2
(1)
(2)
(3)
16.21 Techniques of structural analysis and
design
Homework assignment # 1
Only problems 2, 3 and 4 are part of the assessment (contribute to the grade).
It is recommended that the assignment be done in Mathematica in its entirety
and turned in electronic
16.21 Techniques of Structural Analysis and
Design
Unit #1
In this course we are going to focus on energy and variational methods
for structural analysis. To understand the overall approach we start by con
trasting it with the alternative vector mechanics
16.21 Techniques of Structural Analysis and
Design
Unit #3 Kinematics of deformation
Figure 1: Kinematics of deformable bodies
Deformation described by deformation mapping :
x = (x) = x + u
1
(1)
We seek to characterize the local state of deformation of t
16.21 Techniques of Structural Analysis and
Design
Unit #2 Stress and Momentum balance
Stress at a point
We are going to consider the forces exerted on a material. These can be
external or internal. External forces come in two avors: body forces (given
pe
16.21 Techniques of Structural Analysis and
Design
Unit #2 Mathematical aside: Vectors,
indicial notation and summation convention
Indicial notation
In 16.21 well work in a an euclidean threedimensional space R3 .
Free index: A subscript index ()i wil
16.21 Techniques of Structural Analysis and
Design
Unit #5 Constitutive Equations
Constitutive Equations
For elastic materials:
ij = ij () =
U0
ij
(1)
If the relation is linear:
ij = Cijkl kl , Generalized Hookes Law
(2)
In this expression: Cijkl fourth
16.21 Techniques of Structural Analysis and
Design
Unit #4 Thermodynamics Principles
First Law of Thermodynamics
d
K +U =P +H
dt
(1)
where:
K: kinetic energy
U : internal energy
P : Power of external forces
H: hear exchange per unit time
1
K=
2
V
u u
Massachusetts Institute of Technology
16.410 Principles of Automated Reasoning
and Decision Making
Problem Set #4
Background for Problems 1 and 2
In Problems 1 and 2, you will implement backtracking algorithms for solving CSPs.
The implementation will be
Massachusetts Institute of Technology
16.410 Principles of Automated Reasoning
and Decision Making
Problem Set #6
Problem 1 (50 points)
Consider the following quote, taken from (Barwise and Etchemendy, 1993):
If the unicorn is mythical, then it is immorta