printer friendly pageME 333C: Mechanics - Continuum Mechanics
Introduction to linear and nonlinear continuum mechanics of solids. Introduction to tensor algebra and tensor analysis. Kinematics of motion. Balance equations of mass, linear and angular momentum, energy, and entropy. Constitutive equations of isotropic and anisotropic hyperelastic solids. Introduction to numerical solution techniques.
Terms: Spr
| Units: 3
Instructors:
Kuhl, E. (PI)
ME 334: MECHANICS OF THE BRAIN
Understanding the role of mechanics in brain development, physiology, and pathology. Mechanics of brain cells: neurons, mechanobiology, mechanotransduction. Mechanics of brain tissue: experimental testing, constitutive modeling, computational modeling. Mechanics of brain development: gyrification, cortical folding, axon elongation, lissencephaly, polymicrogyria. Mechanics of traumatic brain injury: high impact loading, neural injury. Mechanics of brain tumors, brain cancer, tumor growth, altered cytoskeletal mechanics. Mechanics of neurological disorders: autism, dementia, schizophrenia. Mechanics of brain surgery.
Terms: Aut
| Units: 3
Instructors:
Kuhl, E. (PI)
ME 335A: Finite Element Analysis
Fundamental concepts and techniques of primal finite element methods. Method of weighted residuals, Galerkin's method and variational equations. Linear eliptic boundary value problems in one, two and three space dimensions; applications in structural, solid and fluid mechanics and heat transfer. Properties of standard element families and numerically integrated elements. Implementation of the finite element method using Matlab, assembly of equations, and element routines. Lagrange multiplier and penalty methods for treatment of constraints. The mathematical theory of finite elements.
Terms: Aut
| Units: 3
Instructors:
Pinsky, P. (PI)
ME 335B: Finite Element Analysis
Finite element methods for linear dynamic analysis. Eigenvalue, parabolic, and hyperbolic problems. Mathematical properties of semi-discrete (t-continuous) Galerkin approximations. Modal decomposition and direct spectral truncation techniques. Stability, consistency, convergence, and accuracy of ordinary differential equation solvers. Asymptotic stability, over-shoot, and conservation laws for discrete algorithms. Mass reduction. Applications in heat conduction, structural vibrations, and elastic wave propagation. Computer implementation of finite element methods in linear dynamics. Implicit, explicit, and implicit-explicit algorithms and code architectures.
Terms: Win
| Units: 3
Instructors:
Pinsky, P. (PI)
ME 335C: Finite Element Analysis
Newton's method for nonlinear problems; convergence, limit points and bifurcation; consistent linearization of nonlinear variational forms by directional derivative; tangent operator and residual vector; variational formulation and finite element discretization of nonlinear boundary value problems (e.g. nonlinear heat equation, nonlinear elasticity); enhancements of Newton's method: line-search techniques, quasi-Newton and arc-length methods.
Terms: Spr
| Units: 3
Instructors:
Pinsky, P. (PI)
ME 337: Mechanics of Growth
Introduction to continuum theory and computational simulation of living matter. Kinematics of finite growth. Balance equations in open system thermodynamics. Constitutive equations for living systems. Custom-designed finite element solution strategies. Analytical solutions for simple model problems. Numerical solutions for clinically relevant problems such as: bone remodeling; wound healing; tumor growth; atherosclerosis; heart failure; tissue expansion; and high performance training.
Terms: Win
| Units: 3
Instructors:
Kuhl, E. (PI)
ME 338: Continuum Mechanics
Linear and nonlinear continuum mechanics for solids. Introduction to tensor algebra and tensor analysis. Kinematics of motion. Balance equations of mass, linear and angular momentum, energy, and entropy. Constitutive equations of isotropic and anisotropic hyperelasticity. Recommended as prerequisite for Finite Element Methods.
Last offered: Autumn 2013
ME 339: Introduction to parallel computing using MPI, openMP, and CUDA (CME 213)
This class will give hands on experience with programming multicore processors, graphics processing units (GPU), and parallel computers. Focus will be on the message passing interface (MPI, parallel clusters) and the compute unified device architecture (CUDA, GPU). Topics will include: network topologies, modeling communication times, collective communication operations, parallel efficiency, MPI, dense linear algebra using MPI. Symmetric multiprocessing (SMP), pthreads, openMP. CUDA, combining MPI and CUDA, dense linear algebra using CUDA, sort, reduce and scan using CUDA. Pre-requisites include: C programming language and numerical algorithms (solution of differential equations, linear algebra, Fourier transforms).
Terms: Spr
| Units: 3
Instructors:
Darve, E. (PI)
;
Elsen, E. (PI)
ME 342A: Mechanobiology and Biofabrication Methods (BIOPHYS 342A)
Review of current cell mechanobiology topics and methods for controlling and assessing the biomechanics of living systems. Practice and theory of design and fabrication of devices for cell mechanobiology. Limited enrollment. NOTE: Compressed schedule starts 7/21 with Tu/Th lecture 10-12 in Weeks 1 and 3, and labs 9-5 (with lunch break) in Weeks 2 and 4.
Terms: Sum
| Units: 3
Instructors:
Pruitt, B. (PI)
ME 342D: MEMS Fabrication/Projects
Emphasis is on process planning, in process testing, nanofabrication training, exposure to MEMS industry applications. Prerequisite:
ENGR 341
Last offered: Summer 2014
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