# Mechanical Engineering (ME) Graduate Courses (2020-21)

ME 100.
Independent Studies in Mechanical Engineering.
Units are assigned in accordance with work accomplished:
.
A faculty mentor will oversee a student proposed, independent research or study project to meet the needs of undergraduate students. Graded pass/fail. The consent of a faculty mentor and a written report is required for each term of work.

Ae/APh/CE/ME 101 abc.
Fluid Mechanics.
9 units (3-0-6):
first, second, third terms.
Prerequisites: APh 17 or ME 11 abc, and ME 12 or equivalent, ACM 95/100 or equivalent (may be taken concurrently).
Fundamentals of fluid mechanics. Microscopic and macroscopic properties of liquids and gases; the continuum hypothesis; review of thermodynamics; general equations of motion; kinematics; stresses; constitutive relations; vorticity, circulation; Bernoulli's equation; potential flow; thin-airfoil theory; surface gravity waves; buoyancy-driven flows; rotating flows; viscous creeping flow; viscous boundary layers; introduction to stability and turbulence; quasi one-dimensional compressible flow; shock waves; unsteady compressible flow; and acoustics.
Instructors: Dimotakis, Pullin.

Ae/AM/CE/ME 102 abc.
Mechanics of Structures and Solids.
9 units (3-0-6):
first, second, third terms.
Prerequisites: ME 12 abc.
Introduction to continuum mechanics: kinematics, balance laws, constitutive laws with an emphasis on solids. Static and dynamic stress analysis. Two- and three-dimensional theory of stressed elastic solids. Wave propagation. Analysis of rods, plates and shells with applications in a variety of fields. Variational theorems and approximate solutions. Elastic stability.
Instructors: Lapusta, Rosakis, Ravichandran.

E/ME/MedE 105 ab.
Design for Freedom from Disability.
9 units (3-0-6):
terms to be arranged.
This Product Design class focuses on people with Disabilities and is done in collaboration with Rancho Los Amigos National Rehabilitation Center. Students visit the Center to define products based upon actual stated and observed needs. Designs and testing are done in collaboration with Rancho associates. Speakers include people with assistive needs, therapists and researchers. Classes teach normative design methodologies as adapted for this special area. Not offered 2020-21.
Instructor: TBD.

ME 110.
Special Laboratory Work in Mechanical Engineering.
3-9 units per term:
maximum two terms.
Special laboratory work or experimental research projects may be arranged by members of the faculty to meet the needs of individual students as appropriate. A written report is required for each term of work.
Instructor: Staff.

CE/ME 112 ab.
Hydraulic Engineering.
9 units (3-0-6):
second, third terms.
Prerequisites: ME 11 abc, ME 12 abc; ACM 95/100 or equivalent (may be taken concurrently).
A survey of topics in hydraulic engineering: open channel and pipe flow, subcritical/critical flow and the hydraulic jump, hydraulic structures (weirs, inlet and outlet works, dams), hydraulic machinery, hydrology, river and flood modeling, solute transport, sediment mechanics, groundwater flow. Not offered 2020-2021.

ME 115 ab.
Introduction to Kinematics and Robotics.
9 units (3-0-6):
second, third terms.
Prerequisites: Ma 2, ACM 95/100 ab recommended.
Introduction to the study of planar, rotational, and spatial motions with applications to robotics, computers, computer graphics, and mechanics. Topics in kinematic analysis will include screw theory, rotational representations, matrix groups, and Lie algebras. Applications include robot kinematics, mobility in mechanisms, and kinematics of open and closed chain mechanisms. Additional topics in robotics include path planning for robot manipulators, dynamics and control, and assembly. Course work will include laboratory demonstrations using simple robot manipulators. Not offered 2020-21.

MS/ME/MedE 116.
Mechanical Behavior of Materials.
9 units (3-0-6):
second term.
Introduction to the mechanical behavior of solids, emphasizing the relationships between microstructure, architecture, defects, and mechanical properties. Elastic, inelastic, and plastic properties of crystalline and amorphous materials. Relations between stress and strains for different types of materials. Introduction to dislocation theory, motion and forces on dislocations, strengthening mechanisms in crystalline solids. Nanomaterials: properties, fabrication, and mechanics. Architected solids: fabrication, deformation, failure, and energy absorption. Biomaterials: mechanical properties of composites, multi-scale microstructure, biological vs. synthetic, shear lag model. Fracture in brittle solids and linear elastic fracture mechanics.
Instructor: Greer.

ME/EE/EST 117.
Energy Technology and Policy.
9 units (3-0-6):
first term.
Prerequisites: Ph 1 abc, Ch 1 ab and Ma 1 abc.
Energy technologies and the impact of government policy. Fossil fuels, nuclear power, and renewables for electricity production and transportation. Resource models and climate change policies. New and emerging technologies.
Instructor: Blanquart.

Ae/ME 118.
Classical Thermodynamics.
9 units (3-0-6):
second term.
Prerequisites: ME 11 abc, ME 12, or equivalent.
Fundamentals of classical thermodynamics. Basic postulates and laws of thermodynamics, work and heat, entropy and available work, and thermal systems. Equations of state, compressibility functions, and the Law of Corresponding States. Thermodynamic potentials, chemical and phase equilibrium, phase transitions, and thermodynamic properties of solids, liquids, and gases. Examples will be drawn from fluid dynamics, solid mechanics, and thermal science applications.
Instructor: Minnich.

ME 119.
Heat and Mass Transfer.
9 units (3-0-6):
first term.
Prerequisites: ME 11 abc, ME 12 abc, ACM 95/100 (may be taken concurrently).
Transport properties, conservation equations, conduction heat transfer, convective heat and mass transport in laminar and turbulent flows, phase change processes, thermal radiation.
Instructor: Hunt.

Ae/ME 120.
Combustion Fundamentals.
9 units (3-0-6):
third term.
Prerequisites: Recommended: ME 118 and 119 or equivalent.
The course will cover chemical equilibrium, chemical kinetics, combustion chemistry, transport phenomena, and the governing equations for multicomponent gas mixtures. Topics will be chosen from non-premixed and premixed flames, laminar and turbulent flames, combustion-generated pollutants, and numerical simulations of reacting flows.
Instructor: Blanquart.

ME/CS/EE 129.
Experimental Robotics.
9 units (3-6-0):
first term.
This course covers the foundations of experimental realization on robotic systems. This includes software infrastructures, e.g., robotic operating systems (ROS), sensor integration, and implementation on hardware platforms. The ideas developed will be integrated onto robotic systems and tested experimentally in the context of class projects. Not offered 2020-2021.

ME/CS/EE 133 abc.
Robotics.
9 units (3-3-3):
first, second, third terms.
Prerequisites: ME/CS/EE 129, may be taken concurrently, or with permission of instructor.
The course develops the core concepts of robotics. The first quarter focuses on classical robotic manipulation, including topics in rigid body kinematics and dynamics. It develops planar and 3D kinematic formulations and algorithms for forward and inverse computations, Jacobians, and manipulability. The second quarter transitions to planning, navigation, and perception. Topics include configuration space, sample-based planners, A* and D* algorithms, to achieve collision-free motions. The third quarter discusses advanced material, for example grasping and dexterous manipulation using multi-fingered hands, or autonomous behaviors, or human-robot interactions. The lectures will review appropriate analytical techniques and may survey the current research literature. Course work will focus on an independent research project chosen by the student.
Instructor: Niemeyer.

ME/CS/EE 134.
Robotic Systems.
9 units (3-6-0):
second term.
Prerequisites: ME/CS/EE 129, may be taken concurrently, or with permission of instructor.
This course builds up, and brings to practice, the elements of robotic systems at the intersection of hardware, kinematics and control, computer vision, and autonomous behaviors. It presents selected topics from these domains, focusing on their integration into a full sense-think-act robot. The lectures will drive team-based projects, progressing from building custom robots to writing software and implementing all necessary aspects. Working systems will autonomously operate and complete their tasks during final demonstrations.
Instructor: Niemeyer.

AM/CE/ME 150 abc.
Graduate Engineering Seminar.
1 unit:
each term; first, second, third terms.
Students attend a graduate seminar each week of each term and submit a report about the attended seminars. At least four of the attended seminars each term should be from the Mechanical and Civil Engineering seminar series. Students not registered for the M.S. and Ph.D. degrees must receive the instructor's permission. Graded pass/fail.
Instructor: Staff.

Ae/Ge/ME 160 ab.
Continuum Mechanics of Fluids and Solids.
9 units (3-0-6):
first, second terms.
Elements of Cartesian tensors. Configurations and motions of a body. Kinematics-study of deformations, rotations and stretches, polar decomposition. Lagrangian and Eulerian strain velocity and spin tensor fields. Irrotational motions, rigid motions. Kinetics-balance laws. Linear and angular momentum, force, traction stress. Cauchy's theorem, properties of Cauchy's stress. Equations of motion, equilibrium equations. Power theorem, nominal (Piola-Kirchoff) stress. Thermodynamics of bodies. Internal energy, heat flux, heat supply. Laws of thermodynamics, notions of entropy, absolute temperature. Entropy inequality (Clausius-Duhem). Examples of special classes of constitutive laws for materials without memory. Objective rates, corotational, convected rates. Principles of materials frame indifference. Examples: the isotropic Navier-Stokes fluid, the isotropic thermoelastic solid. Basics of finite differences, finite elements, and boundary integral methods, and their applications to continuum mechanics problems illustrating a variety of classes of constitutive laws. Part a will be offered in 2020-21.
Instructor: Lapusta.

MS/ME 161.
Imperfections in Crystals.
9 units (3-0-6):
third term.
Prerequisites: graduate standing or MS 115.
The relation of lattice defects to the physical and mechanical properties of crystalline solids. Introduction to point imperfections and their relationships to transport properties in metallic, covalent, and ionic crystals. Kroeger-Vink notation. Introduction to dislocations: geometric, crystallographic, elastic, and energetic properties of dislocations. Dislocation reactions and interactions including formation of locks, stacking faults, and surface effects. Relations between collective dislocation behavior and mechanical properties of crystals. Introduction to computer simulations of dislocations. Grain boundaries. The structure and properties of interfaces in solids. Emphasis on materials science aspects of role of defects in electrical, morphological, optical, and mechanical properties of solids.
Instructor: Greer.

ME/CE 163.
Mechanics and Rheology of Fluid-Infiltrated Porous Media.
9 units (3-0-6):
third term.
Prerequisites: Continuum Mechanics-Ae/Ge/ME 160 ab.
This course will focus on the physics of porous materials (e.g., geomaterials, biological tissue) and their intimate interaction with interstitial fluids (e.g., water, oil, blood). The course will be split into two parts: Part 1 will focus on the continuum mechanics (balance laws) of multi-phase solids, with particular attention to fluid diffusion-solid deformation coupling. Part 2 will introduce the concept of effective stresses and state of the art rheology available in modeling the constitutive response of representative porous materials. Emphasis will be placed on poro-elasticity and poro-plasticity. Not offered 2020-21.

AM/ME 165.
Finite Elasticity.
9 units (3-0-6):
third term.
Prerequisites: Ae/Ge/ME 160 a.
Finite theory of elasticity: constitutive theory, semi-inverse methods. Variational methods. Applications to problems of current interest. Not offered 2020-21.

MS/ME 166.
Fracture of Brittle Solids.
9 units (3-0-6):
third term.
Prerequisites: MS 115a (or equivalent).
The mechanical response of brittle materials (ceramics, glasses and some network polymers) will be treated using classical elasticity, energy criteria, and fracture mechanics. The influence of environment and microstructure on mechanical behavior will be explored. Transformation toughened systems, large-grain crack-bridging systems, nanostructured ceramics, porous ceramics, anomolous glasses, and the role of residual stresses will be highlighted. Strength, flaw statistics and reliability will be discussed. Not offered 2020-21.

CE/ME/Ge 173.
Mechanics of Soils.
9 units (3-0-6):
third term.
Prerequisites: Continuum Mechanics-Ae/Ge/ME 160 a.
Basic principles of stiffness, deformation, effective stress and strength of soils, including sands, clays and silts. Elements of soil behavior such as stress-strain-strength behavior of clays, effects of sample disturbance, anisotropy, and strain rate; strength and compression of granular soils; consolidation theory and settlement analysis; and critical state soil mechanics.
Instructor: Asimaki.

ME/CE/Ge 174.
Mechanics of Rocks.
9 units (3-0-6):
second term.
Prerequisites: Ae/Ge/ME 160 a.
Basic principles of deformation, strength, and stressing of rocks. Elastic behavior, plasticity, viscoelasticity, viscoplasticity, creep, damage, friction, failure mechanisms, shear localization, and interaction of deformation processes with fluids. Engineering and geological applications.
Instructor: Lapusta.

ME 200.
Advanced Work in Mechanical Engineering.
:
.
A faculty mentor will oversee a student proposed, independent research or study project to meet the needs of graduate students. Graded pass/fail. The consent of a faculty mentor and a written report is required for each term of work.

ME 201.
Advanced Topics in Mechanical Engineering.
9 units (3-0-6):
second term.
The faculty will prepare courses on advanced topics to meet the needs of graduate students.
Instructor: Andrade.

ME 202 abc.
Engineering Two-Phase Flows.
9 units (3-0-6):
.
Prerequisites: ACM 95/100 ab, Ae/APh/CE/ME 101 abc, or equivalents.
Selected topics in engineering two-phase flows with emphasis on practical problems in modern hydro-systems. Fundamental fluid mechanics and heat, mass, and energy transport in multiphase flows. Liquid/vapor/gas (LVG) flows, nucleation, bubble dynamics, cavitating and boiling flows, models of LVG flows; instabilities, dynamics, and wave propagation; fluid/structure interactions. Discussion of two-phase flow problems in conventional, nuclear, and geothermal power plants, marine hydrofoils, and other hydraulic systems. Not offered 2020-21.

Ae/AM/MS/ME 213.
Mechanics and Materials Aspects of Fracture.
9 units (3-0-6):
first term.
Prerequisites: Ae/AM/CE/ME 102 abc (concurrently) or equivalent and instructor's permission.
Analytical and experimental techniques in the study of fracture in metallic and nonmetallic solids. Mechanics of brittle and ductile fracture; connections between the continuum descriptions of fracture and micromechanisms. Discussion of elastic-plastic fracture analysis and fracture criteria. Special topics include fracture by cleavage, void growth, rate sensitivity, crack deflection and toughening mechanisms, as well as fracture of nontraditional materials. Fatigue crack growth and life prediction techniques will also be discussed. In addition, "dynamic" stress wave dominated, failure initiation growth and arrest phenomena will be covered. This will include traditional dynamic fracture considerations as well as discussions of failure by adiabatic shear localization. Not offered 2020-21.

Ae/AM/CE/ME 214 ab.
Computational Solid Mechanics.
9 units (3-5-1):
second, third terms.
Prerequisites: ACM 100 ab or equivalent; CE/AM/Ae 108 ab or equivalent or instructor's permission; Ae/AM/CE/ME 102 abc or Ae/Ge/ME 160 ab or instructor's permission.
Introduction to the use of numerical methods in the solution of solid mechanics and multiscale mechanics problems. First term: Variational principles. Finite element analysis. Variational problems in linear and finite kinematics. Time integration, initial boundary value problems. Elasticity and inelasticity. Constitutive modeling. Error estimation. Accuracy, stability and convergence. Iterative solution methods. Adaptive strategies. Second term: Multiscale modeling strategies. Computational homogenization in linear and finite kinematics. Spectral methods. Atomistic modeling and atomistic-to-continuum coupling techniques. Not offered 2020-21.

Ae/AM/ME 215.
Dynamic Behavior of Materials.
9 units (3-0-6):
third term.
Prerequisites: ACM 100 abc or AM 125 abc; Ae/AM/CE/ME 102 abc.
Fundamentals of theory of wave propagation; plane waves, wave guides, dispersion relations; dynamic plasticity, adiabatic shear banding; dynamic fracture; shock waves, equation of state. Not offered 2020-21.

Ae/ME/APh 218.
Statistical Mechanics.
9 units (3-0-6):
third term.
Prerequisites: Ae/ME 118, or equivalent.
Overview of probability and statistics, and the Maxwell-Boltzmann distribution. Overview and elements of Quantum Mechanics, degenerate energy states, particles in a box, and energy-state phase space. Statistics of indistinguishable elementary particles, Fermi-Dirac and Bose-Einstein statistics, partition functions, connections with classical thermodynamics, and the Law of Equipartition. Examples from equilibrium in fluids, solid-state physics, and others. Not offered 2020-21.

CE/Ge/ME 222.
Earthquake Source Processes, Debris Flows, and Soil Liquefaction: Physics-based Modeling of Failure in Granular Media.
6 units (2-0-4):
third term.
A seminar-style course focusing on granular dynamics and instabilities as they relate to geophysical hazards such as fault mechanics, debris flows, and liquefaction. The course will consist of student-led presentations of active research at Caltech and discussions of recent literature. Not offered 2020-21.

Ae/AM/ME 223.
Plasticity.
9 units (3-0-6):
second term.
Prerequisites: Ae/AM/CE/ME 102 abc or instructor's permission.
Theory of dislocations in crystalline media. Characteristics of dislocations and their influence on the mechanical behavior in various crystal structures. Application of dislocation theory to single and polycrystal plasticity. Theory of the inelastic behavior of materials with negligible time effects. Experimental background for metals and fundamental postulates for plastic stress-strain relations. Variational principles for incremental elastic-plastic problems, uniqueness. Upper and lower bound theorems of limit analysis and shakedown. Slip line theory and applications. Additional topics may include soils, creep and rate-sensitive effects in metals, the thermodynamics of plastic deformation, and experimental methods in plasticity. Not offered 2020-21.

ME/MS/Ae/AM 224.
Multifunctional Materials.
9 units (3-0-6):
third term.
Prerequisites: MS 115 or equivalent, Ae/AM/CE/ME 102abc or APh105abc (may be waived with instructor's permission).
Multiscale view of materials and different approaches of introducing functionality; Electronic aspects and multiferroic materials; Symmetry breaking phase transformations, microstructure: shape-memory alloys, ferroelectrics, liquid crystal elastomers; Composite materials and metamaterials: multifunctional structures.
Instructor: Bhattacharya.

Ae/AM/ME/Ge 225.
Special Topics in Solid Mechanics.
Units to be arranged:
first, second, third terms.
Subject matter changes depending on staff and student interest.

Ae/ACM/ME 232 ab.
Computational Fluid Dynamics.
9 units (3-0-6):
second, third terms.
Prerequisites: Ae/APh/CE/ME 101 abc or equivalent; ACM 100 abc or equivalent.
Development and analysis of algorithms used in the solution of fluid mechanics problems. Numerical analysis of discretization schemes for partial differential equations including interpolation, integration, spatial discretization, systems of ordinary differential equations; stability, accuracy, aliasing, Gibbs and Runge phenomena, numerical dissipation and dispersion; boundary conditions. Survey of finite difference, finite element, finite volume and spectral approximations for the numerical solution of the incompressible and compressible Euler and Navier-Stokes equations, including shock-capturing methods.
Instructors: Meiron, Pullin.

Ae/CDS/ME 251 ab.
Closed Loop Flow Control.
9 units (3-0-6 a, 1-6-1 b):
second, third terms.
Prerequisites: ACM 100abc, Ae/APh/CE/ME 101abc or equivalent.
This course seeks to introduce students to recent developments in theoretical and practical aspects of applying control to flow phenomena and fluid systems. Lecture topics in the second term drawn from: the objectives of flow control; a review of relevant concepts from classical and modern control theory; high-fidelity and reduced-order modeling; principles and design of actuators and sensors. Third term: laboratory work in open- and closed-loop control of boundary layers, turbulence, aerodynamic forces, bluff body drag, combustion oscillations and flow-acoustic oscillations. Not offered 2020-21.

AM/CE/ME 252.
Linear and Nonlinear Waves in Structured Media.
9 units (2-1-6):
second term.
The course will cover the basic principles of wave propagation in solid media. It will discuss the fundamental principles used to describe linear and nonlinear wave propagation in continuum and discrete media. Selected recent scientific advancements in the dynamics of periodic media will also be discussed. Students learn the basic principles governing the propagation of waves in discrete and continuum solid media. These methods can be used to engineer materials with predefined properties and to design dynamical systems for a variety of engineering applications (e.g., vibration mitigation, impact absorption and sound insulation). The course will include an experimental component, to test wave phenomena in structured media. Not offered 2020-2021.

ME/MS 260.
Micromechanics.
9 units (3-0-6):
third term.
Prerequisites: ACM 95/100 or equivalent, and Ae/AM/CE/ME 102 abc or Ae/Ge/ME 160 ab or instructor's permission.
The course gives a broad overview of micromechanics, emphasizing the microstructure of materials, its connection to molecular structure, and its consequences on macroscopic properties. Topics include phase transformations in crystalline solids, including martensitic, ferroelectric, and diffusional phase transformations, twinning and domain patterns, active materials; effective properties of composites and polycrystals, linear and nonlinear homogenization; defects, including dislocations, surface steps, and domain walls; thin films, asymptotic methods, morphological instabilities, self-organization; selected applications to microactuation, thin-film processing, composite materials, mechanical properties, and materials design. Open to undergraduates with instructor's permission. Not offered 2020-21.

Ae/AM/CE/ME 265 ab.
Static and Dynamic Failure of Brittle Solids and Interfaces, from the Micro to the Mega.
9 units (3-0-6):
first term.
Prerequisites: Ae/AM/CE/ME 102 abc (concurrently) or equivalent and/or instructor's permission.
Linear elastic fracture mechanics of homogeneous brittle solids (e.g. geo-materials, ceramics, metallic glasses); small scale yielding concepts; experimental methods in fracture, fracture of bi-material interfaces with applications to composites as well as bonded and layered engineering and geological structures; thin-film and micro-electronic components and systems; dynamic fracture mechanics of homogeneous engineering materials; dynamic shear dominated failure of coherent and incoherent interfaces at all length scales; dynamic rupture of frictional interfaces with application to earthquake source mechanics; allowable rupture speeds regimes and connections to earthquake seismology and the generation of Tsunamis. Only Part a will be offered in 2020-21.
Instructor: Rosakis.

ME/Ge/Ae 266 ab.
Dynamic Fracture and Frictional Faulting.
9 units (3-0-6):
third term.
Prerequisites: Ae/AM/CE/ME 102 abc or Ae/Ge/ME 160 ab or instructor's permission.
Introduction to elastodynamics and waves in solids. Dynamic fracture theory, energy concepts, cohesive zone models. Friction laws, nucleation of frictional instabilities, dynamic rupture of frictional interfaces. Radiation from moving cracks. Thermal effects during dynamic fracture and faulting. Crack branching and faulting along nonplanar interfaces. Related dynamic phenomena, such as adiabatic shear localization. Applications to engineering phenomena and physics and mechanics of earthquakes. Not offered 2020-2021.

ME 300.
Research in Mechanical Engineering.
Hours and units by arrangement:
.
Research in the field of mechanical engineering. By arrangement with members of the faculty, properly qualified graduate students are directed in research.

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