Teaching
The mechanics of brittle and ductile fracture in structural materials. Elastic stress fields near cracks, theories of brittle fracture, elastic fracture mechanics. Techniques of stress analysis. Elastic-plastic analysis of crack extension. Plastic instability. Fatigue, creep, and dynamic fracture. Dislocation mechanisms, cleavage, ductile fracture by void growth. Transitional behavior, rate sensitivity, running cracks. Fracture toughness and fatigue testing and structural design considerations.
Mechanical behavior of materials and analysis of stress and deformation in engineering structures and continuous media. Topics include concepts of stress and strain; the elastic, plastic, and time-dependent response of materials; principles of structural analysis and application to simple bar structures, beam theory, instability and buckling, torsion of shafts; general three-dimensional states of stress; Mohr's circle; stress concentrations. Lectures, recitations, and laboratory. Prerequisites: ENGN 0030; APMA 0330.
Spring 2008 - ENGN 2910I Mechanics of Entropic Forces in Biological Adhesion
Course will cover fundamental concepts of entropic force and its significance in mechanical systems involving "soft matter". A prominent example is cell adhesion which plays a central role in cell migration, spreading, differentiation and growth. For such problems, the importance of mechanics and mechanical forces has been widely recognized and are currently under intensive research. This course is also aimed to stimulate live discussions on potential research topics and opportunities at the interface between solid mechanics and biological mechanics, with emphasis on cell-substrate, cell-cell and cell-particle interaction. Fundamental concepts to be discussed include Brownian motion, fluctuation, diffusion, dissipation, ligand-receptor bonds, single molecule mechanics, stochastic dynamics of binding/rebinding, elasticity, stress fibers, cytoskeleton, focal adhesion and endocytosis.
Continuum mechanics of solids and its application to the mechanical response of machine and structural elements. Elasticity, plasticity, and failure criteria. Elastic stress analysis in torsion, plane stress and plane strain, stress concentrations. Fracture mechanics, principle of virtual work, and variational theorems. Finite-element method of numerical stress analysis. Theorems of plastic limit analysis.
A unified introduction to the engineering mechanics of elastic, plastic, and time-dependent solid materials and structures. Stress and equilibrium. Kinematics of deformation, strain, and compatibility. Tensor representation and principal values. Principle of virtual work. Formulation of stress-strain relations in elasticity, plasticity, and viscoelasticity. Uniqueness. Extremum and minimum principles, including energy methods.
Continuum mechanics of solids and its application to the mechanical response of machine and structural elements. Elasticity, plasticity, and failure criteria. Elastic stress analysis in torsion, plane stress and plane strain, stress concentrations. Fracture mechanics, principle of virtual work, and variational theorems. Finite-element method of numerical stress analysis. Theorems of plastic limit analysis.
Spring 2006 - EN0292 S33 New Frontiers of Solid Mechanics in Nano- and Bio- Research
Course will cover fundamental concepts and methods in continuum, atomistic and statistical modeling of nanoscale and hierarchical materials in engineering and biology. Various systems and phenomena, including thin films, nanocrystalline materials, fracture, hierarchical tissue structures of bone and gecko, cell adhesion and endocytosis, carbon nanotubes and biomolecular assembly, are selected to stimulate discussions at the forefront of solid mechanics research.