College of Arts & Sciences at UMass Dartmouth

Fall 2023 14-week full session classes end, last class before final exam.

Online

Fall classes end today.

UMass Dartmouth

EAS PhD Dissertation Defense by Shayan Razi Date: December 11, 2023 Time: 9:30am Topic: An Energy-Based Lattice Element Approach to Modeling Linear and Nonlinear Response of Complex Building Systems Location: CSCDR TXT 105 Abstract: Extreme loading conditions due to natural hazards such as windstorms, earthquakes, and floods can lead to the failure of both structural and non-structural elements, and subsequently, damage to the entire structural system. The significant economic repercussions of such events call for the revisiting of engineering approaches to resilience assessment towards the examination of the functional integrity of civil infrastructure. This assessment requires the development of accurate yet computationally efficient frameworks to model the failure of systems comprising structural and non-structural components. To this end, we leverage a Potential-of-Mean-Force (PMF) approach to Lattice Element Method (LEM), a class of discrete methods demonstrated to be particularly advantageous for simulating failure and fracture, to capture the mechanical response of structural systems in both linear and nonlinear regimes. The premise of the proposed framework is to discretize the system into a set of particles that interact with each other through prescribed potential functions, which represent the mechanical properties of different types of members. Lending itself to damage assessment due to its discrete nature, our PMF-based LEM transcends the limitations of continuum mechanics approaches and enables the incorporation of a range of effective interaction potentials, to simulate the linear and nonlinear behavior of structural components. Since the determination of elastic behavior is a precursor to the failure analysis of structural components, harmonic potentials are initially adopted to model the linear response of various structural members, e.g., beams, columns, roofs, and walls. The calibration procedure for such potentials is thus carried out via a handshake with continuum mechanics theories, e.g., the Timoshenko beam theory and Kirchhoff-Love plate theory. This calibration is then carried out for non-harmonic potentials by adopting section properties that encapsulate the nonlinear stress-strain responses of the materials, e.g., nonlinear moment-curvature relations. Upon the calibration of non-harmonic potentials, ductile failure of the structural members is modeled by breaking bonds between particles according to an energy-based failure criterion. Finally, the utility and accuracy of the proposed framework is demonstrated through its application in (i) both quasi-static linear and nonlinear simulations of large-scale buildings under different loading conditions, (ii) the simulation of progressive structural failure due to the propagation of local structural damage. ADVISOR(S): Dr. Mazdak Tootkaboni, Dept of Civil & Environmental Engineering (mtootkaboni@umassd.edu) COMMITTEE MEMBERS: Dr. Arghavan Louhghalam, Dept of Civil & Environmental Engineering Dr. Yanlai Cheng, Department of Mathematics Dr. Alfa Heryudono, Department of Mathematics NOTE: All EAS Students are ENCOURAGED to attend.

See description for location

Today is Study Day.

UMass Dartmouth

EAS Doctoral Proposal Defense by David Gillcrest Date: Tuesday, December 12, 2023 Time: 11:00 a.m. Topic: Inverse Analysis and Calibration of Physical Models: An Approached Based on Greedy Kaczmarz Multi-Fidelity Surrogates and Aggregated Directional Statistics Location: CSCDR - TXT 105 Abstract: Advances in surrogate modeling have allowed for highly accurate Polynomial Chaos (PC) expansions to be constructed for physical models ranging from mild to major complexity in their respective parameter spaces. Multi-fidelity techniques in the field of uncertainty analysis have been employed to efficiently capture the variations in the outputs of models given reasonable perturbations in these parameters. Recently, a greedy Kaczmarz algorithm (GKA) has been used to cheaply construct surrogate models in a way that greatly outperforms the previous least square approaches that demand samples about 2-3 times the number of coefficients in the PC expansion. In this research we look at the utility of GKA-produced surrogate models in solving parameter estimation problems - inverse problems typically solved using statistical least squares methods - for partial differential equations (PDEs). We present a generalized approach to solving two-dimensional parameter estimations for PDEs and demonstrate its potential using two Advection-Diffusion-Reaction equations: one for the source localization of a river contaminant, and the other for the estimations of both the area source contamination magnitude as well as ambient pollution concentration in the context of an urban heat island under the influence of mesoscale wind. The physical domain of each problem is discretized in such a way as to accommodate the hypothetical usage of detection apparatuses. An array of surrogate models is constructed to capture the variation in outputs at these detectors with respect to the PDEs' parameter spaces. Using directional statistical techniques we examine the optimal combination of the surrogate models, specifically by looking at the local interactions of each model's slope field. The quality of the combination of surrogates can then be quantified and aggregated in order to achieve a cost value for a grouping of surrogates. ADVISOR(S): Dr. Mazdak Tootkaboni, Dept of Civil and Environmental Engineering (mtootkaboni@umassd.edu) Dr. Yanlai Chen, Dept. of Mathematics (ychen@umassd.edu) COMMITTEE MEMBERS: Dr. Sigal Gottlieb, Department of Mathematics Dr. Zheng Chen, Department of Mathematics NOTE: All EAS Students are ENCOURAGED to attend.

See description for location

Fall 2023 14-week full session final exams begin.

Online