UNIT I FRICTION 7
Topography of Surfaces – Surface features – Properties and measurement – Surfac... more UNIT I FRICTION 7 Topography of Surfaces – Surface features – Properties and measurement – Surface interaction – Adhesive Theory of Sliding Friction – Rolling Friction – Friction properties of metallic and non metallic materials – Friction in extreme conditions – Thermal considerations in sliding contact UNIT II WEAR 6 Introduction – Abrasive wear, Erosive, Cavitation, Adhesion, Fatigue wear and Fretting Wear- Laws of wear – Theoretical wear models – Wear of metals and non metals – International standards in friction and wear measurements UNIT III CORROSION 10 Introduction – Principle of corrosion – Classification of corrosion – Types of corrosion – Factors influencing corrosion – Testing of corrosion – In-service monitoring, Simulated service, Laboratory testing – Evaluation of corrosion – Prevention of Corrosion – Material sele
The governing equations for problems solved by the finite element method are typically formulated... more The governing equations for problems solved by the finite element method are typically formulated by partial differential equations in their original form. These are rewritten into a weak form, such that domain integration can be utilized to satisfy the governing equations in an average sense. A functional is set up for the system, typically describing the energy or energy rate and implying that the solution can be found by minimization. For a generic functional, this is written as where the functional is a function of the coordinates x i and the primary variable u i being e.g. displacements or velocities for mechanical problems depending on the formulation. The domain integration is approximated by a summation over a finite number of elements discretizing the domain. Figure 2.1 illustrates a three-dimensional domain discretized by hexahedral elements with eight nodes. The variables are defined and solved in the nodal points, and evaluation of variables in the domain is performed by interpolation in each element. Shared nodes give rise to an assembly of elements into a global system of equations of the form where K is the stiffness matrix, u is the primary variable and f is the applied load, e.g. stemming from applied tractions F on a surface S F in Fig. 2.1. The system of equations (2.2) is furthermore subject to essential boundary conditions, e.g. prescribed displacements or velocities u along a surface S U. The basic aspects of available finite element formulations in terms of mod-eling and computation are briefly reviewed in this chapter. This will support the choice of formulation to be detailed and applied in the remaining chapters, where an electro-thermo-mechanical finite element formulation is presented (2.1) ∂� ∂u = ∂ ∂u � V f(x i , u i) dV = ∂ ∂u � j f(x i , u i) ∆V j = 0 (2.2) Ku = f Finite Element Formulations Chapter 2
UNIT I FRICTION 7
Topography of Surfaces – Surface features – Properties and measurement – Surfac... more UNIT I FRICTION 7 Topography of Surfaces – Surface features – Properties and measurement – Surface interaction – Adhesive Theory of Sliding Friction – Rolling Friction – Friction properties of metallic and non metallic materials – Friction in extreme conditions – Thermal considerations in sliding contact UNIT II WEAR 6 Introduction – Abrasive wear, Erosive, Cavitation, Adhesion, Fatigue wear and Fretting Wear- Laws of wear – Theoretical wear models – Wear of metals and non metals – International standards in friction and wear measurements UNIT III CORROSION 10 Introduction – Principle of corrosion – Classification of corrosion – Types of corrosion – Factors influencing corrosion – Testing of corrosion – In-service monitoring, Simulated service, Laboratory testing – Evaluation of corrosion – Prevention of Corrosion – Material sele
The governing equations for problems solved by the finite element method are typically formulated... more The governing equations for problems solved by the finite element method are typically formulated by partial differential equations in their original form. These are rewritten into a weak form, such that domain integration can be utilized to satisfy the governing equations in an average sense. A functional is set up for the system, typically describing the energy or energy rate and implying that the solution can be found by minimization. For a generic functional, this is written as where the functional is a function of the coordinates x i and the primary variable u i being e.g. displacements or velocities for mechanical problems depending on the formulation. The domain integration is approximated by a summation over a finite number of elements discretizing the domain. Figure 2.1 illustrates a three-dimensional domain discretized by hexahedral elements with eight nodes. The variables are defined and solved in the nodal points, and evaluation of variables in the domain is performed by interpolation in each element. Shared nodes give rise to an assembly of elements into a global system of equations of the form where K is the stiffness matrix, u is the primary variable and f is the applied load, e.g. stemming from applied tractions F on a surface S F in Fig. 2.1. The system of equations (2.2) is furthermore subject to essential boundary conditions, e.g. prescribed displacements or velocities u along a surface S U. The basic aspects of available finite element formulations in terms of mod-eling and computation are briefly reviewed in this chapter. This will support the choice of formulation to be detailed and applied in the remaining chapters, where an electro-thermo-mechanical finite element formulation is presented (2.1) ∂� ∂u = ∂ ∂u � V f(x i , u i) dV = ∂ ∂u � j f(x i , u i) ∆V j = 0 (2.2) Ku = f Finite Element Formulations Chapter 2
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Papers by Sedhu Pathi
Topography of Surfaces – Surface features – Properties and measurement – Surface interaction – Adhesive Theory of Sliding Friction – Rolling Friction – Friction properties of metallic and non metallic materials – Friction in extreme conditions – Thermal considerations in sliding contact
UNIT II WEAR 6
Introduction – Abrasive wear, Erosive, Cavitation, Adhesion, Fatigue wear and Fretting Wear- Laws of wear – Theoretical wear models – Wear of metals and non metals – International standards in friction and wear measurements
UNIT III CORROSION 10
Introduction – Principle of corrosion – Classification of corrosion – Types of corrosion – Factors influencing corrosion – Testing of corrosion – In-service monitoring, Simulated service, Laboratory testing – Evaluation of corrosion – Prevention of Corrosion – Material sele
Topography of Surfaces – Surface features – Properties and measurement – Surface interaction – Adhesive Theory of Sliding Friction – Rolling Friction – Friction properties of metallic and non metallic materials – Friction in extreme conditions – Thermal considerations in sliding contact
UNIT II WEAR 6
Introduction – Abrasive wear, Erosive, Cavitation, Adhesion, Fatigue wear and Fretting Wear- Laws of wear – Theoretical wear models – Wear of metals and non metals – International standards in friction and wear measurements
UNIT III CORROSION 10
Introduction – Principle of corrosion – Classification of corrosion – Types of corrosion – Factors influencing corrosion – Testing of corrosion – In-service monitoring, Simulated service, Laboratory testing – Evaluation of corrosion – Prevention of Corrosion – Material sele