Graduate Courses in Engineering Mechanics




		Following is a list of graduate courses in Engineering Mechanics offered by the Civil Engineering Department of CWRU. Arrangements can be made with Mechanics Advisors regarding requirements in the Graduate program. Listings of Undergraduate Courses available. ECIV 411, Elasticity. Theory and Applications, 3 General analysis of deformation, strain, and stress. Elastic stress-strain relations and formulation of elasticity problems. Solution of elasticity problems by potentials. Simple beams. The torsion problem. Thick cylinders, disks, and spheres. Energy principle and introduction to variational methods. Elastic stability. Matrix and tensor notations gradually introduced, then used throughout the course. Consent of instructor required. Prerequisite: ECIV 310 ECIV 412, Constitutive Modeling Theories, 3 Review of continuum mechanics. Application of theories of thermodynamics to the development of consistent constitutive models. Fundamentals in physics of deformation and fracture. Identification and rheological classification of real solids. Constitutive equations for thermoelastic, plastic, viscoplastic, linear and nonlinear viscoelastic solids. Internal variables. Strain and stress space formulations. Micromechanical considerations. Relation to experimental results. Effects of anisotropy and inhomogeneity. Temperature effects. Gradient and nonlocal theories. Uniqueness theorems. Extremum and variational principles. Stability. Consent of instructor required. Prerequisite: ECIV 410 or ECIV 411 ECIV 415, Structural Modeling and Experimental Methods, 3 Types of structural behavior, structural modeling, dimensional analysis and similitude requirements. Experimental stress analysis review. Fabrication, instrumentation and testing of small-scale models (steel, plastic, aluminum, wood). Materials and techniques. Case studies of models in design. Consent of instructor required. Prerequisite: ECIV 211, ECIV 320 ECIV 420, Introduction to Finite Element Structural Analysis, 3 Matrix and energy methods of structural analysis for discrete structures including trusses and frames. Introduction to finite element methods and applications in plane stress and strain, axisymmetric and plate and shell structures. Structural problem solving using the digital computer. Consent of instructor required. Prerequisite: ECIV 310 ECIV 426, Structural Reliability, 3 Probability applications in structural analysis and design. Statistical models for load and strength and reliability-based design and optimization. Applications in structural engineering, including wind, earthquake, ocean wave, and highway loading. Consent of instructor required. ECIV 427, Theory of Structural Stability, 3 Various models of structural stability. Elastic buckling of columns, frames, thin plates, and shells using energy and differential equation methods. Beam columns, inelastic column behavior, and torsional and lateral buckling. Development and evaluation of design procedures for structural instability problems. Prerequisite: ECIV 322 Consent of instructor required. ECIV 510, Advanced Topics in Finite Elements, 3 (Continuation of ECIV 420). Complementary and hybrid energy formulations, material and geometrically nonlinear analysis, thick plate and shell analysis, applications of finite elements to fracture mechanic and other fields. Consent of instructor required. Prerequisite: ECIV 420 ECIV 520, Random Processes in Civil Engineering, 3 Random vectors and second moment theory. Time and frequency domain characterization of random processes and fields. Poisson and Markov processes. Random vibration. The first passage problem. Digital simulation of random processes and analysis of time series. Applications focus on stochastic models for phenomena such as earthquakes, wind turbulence, ocean waves, traffic flow, and others related to civil engineering. Consent of instructor required. ECIV 521, Stochastic Materials Behavior, 3 Applications of random processes to characterization of material structure; elements of quantitative stereology; micromechanical stochastic modeling of stress-strain behavior and static strength; modeling of fatigue strength and crack growth; stochastic simulation of material structure and deformation processes. Consent of instructor required. Prerequisite: ECIV 410 and ECIV 411 or ECIV 520 ECIV 582, Advanced Theory of Elasticity, 3 Tensor definition and properties; stress and strain tensors; finite deformations; complex variable methods for plane problems of isotropic and anisotropic materials; thermoelasticity; direct and indirect potential methods and boundary-integral methods for two and three-dimensional problems; applications to finite and infinite bodies with flaws; equivalent inclusion method; energy methods. Consent of instructor required. Prerequisite: ECIV 411 ECIV 583, Theory of Plates and Shells, 3 Analysis of flat plates subjected to various load and boundary conditions; coupled bending membrane response resulting from both material properties and large deformations; momentless theory of shells, classical bending analysis of shells of revolution, and higher order shell theory. Prerequisite: ECIV 411 ECIV 584, Theory of Plasticity and Damage Mechanics, 3 The physics of plasticity and damage. Yield criteria, flow rules and hardening rules. Loading criteria. Proportional and non-proportional loading. Strain softening. Relation between elastic-plastic and rigid-plastic representations. Isotropic and kinematic linear and nonlinear hardening. Damage variables. Effective stress. Measurement of damage. Isotropic and nonisotropic damage. Plasticity coupled with damage. Boundary value problems. Dynamic problems. Applications to structural analysis, soil mechanics and metal forming. Prerequisite: ECIV 411 ECIV 585, Fracture Mechanics, 3 Crack tip fields, stress intensity factors, singular solutions, energy changes with crack growth, cohesive zone models, fracture toughness, small scale yielding, experimental techniques, fracture criteria, J-integral, R-curve, fatigue cracks, fracture of composites, dynamic fracture. Consent of instructor required. Prerequisite: ECIV 411 ECIV 586, Rate Effects in Solid Mechanics, 3 Rate and history dependence of material behavior. Viscoelastic and viscoplastic models. Constitutive equations. Hereditary integrals. Internal variable formulation of viscoelasticity and viscoplasticity. Cyclic effects. Nonlinear viscoelasticity. Creep of metals at high temperature. Creep rupture. Computational methods in viscoelasticity and viscoplasticity. Dynamic problems. Boundary-value problems. Stability. Applications to soils, asphalt, metals and alloys. Consent of instructor required. Prerequisite: ECIV 411 ECIV 601, Independent Study, 1-36 ECIV 611. Civil Engineering Graduate Seminar, 0 Distinguished outside speakers present current research in various topics of civil engineering. Graduate students also present technical papers based on thesis research. ECIV 651, Thesis M.S., 1-36 ECIV 660, Special Topics, 1-36 Topics of special interest to students and faculty. Topics can be those covered in a regular course when the student cannot wait for the course to be offered. ECIV 701, Dissertation Ph.D., 1-36
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