A5072138983- Topology Optimization in Engineering
- Composite Structure Analysis and Optimization
- Advanced Multi-Objective Optimization Algorithms
- Composite Material Mechanics
- Manufacturing Process and Optimization
- Probabilistic and Robust Engineering Design
- Advanced Numerical Methods in Computational Mathematics
- Elasticity and Material Modeling
- Piezoelectric Actuators and Control
- Advanced Mathematical Modeling in Engineering
- Advanced Numerical Analysis Techniques
- Numerical methods in engineering
- Metallurgy and Material Forming
- Dynamics and Control of Mechanical Systems
- Additive Manufacturing and 3D Printing Technologies
- Metal Forming Simulation Techniques
- Robotic Mechanisms and Dynamics
- Mechanical Engineering and Vibrations Research
- Supercapacitor Materials and Fabrication
- Rheology and Fluid Dynamics Studies
- Aluminum Alloy Microstructure Properties
- Microstructure and mechanical properties
- Photonic Crystals and Applications
- Fatigue and fracture mechanics
- Contact Mechanics and Variational Inequalities
University of Illinois Urbana-Champaign
2015-2024
Lawrence Livermore National Laboratory
2016-2024
Ford Motor Company (United States)
2006
Urbana University
2005
University of Illinois System
1992-1998
General Motors (Poland)
1989-1990
Advanced Engineering (Czechia)
1989
General Motors (United States)
1989
Design sensitivity plays a critical role in inverse and identification studies, as well numerical optimization, reliability analysis. Herein, we review the state of design analysis it applies to linear elliptic systems. Both first- second-order sensitivities are derived first-order for symmetric positive definite eigenvalue Although these results not new, some derivations offer different perspective than those previously presented. This article is meant tutorial, such, simple...
Abstract Tangent operators and design sensitivities are derived for transient non‐linear coupled problems. The solution process the formation of tangent presented in a systematic manner generalized response functional formulated via both direct differentiation adjoint methods. formulations suitable finite element implementations. Analyses systems, with materials that exhibit history dependent response, may be obtained directly by applying analyses systems. Rate‐independent elastoplasticity...
Abstract A method is developed to systematically remove and reintroduce low density elements from into the finite element mesh on which structural topology optimization problem defined. The material field defines local ‘stiffness’ of structure optimally distributed via non‐linear programming techniques. To prevent having zero stiffness, an arbitrarily small lower bound typically imposed ensure that global stiffness matrix does not become singular. While this approach works well for most...
Topology optimization is used to design phononic bandgap materials that are tunable by mechanical deformation. A periodic media considered, which due the assumption of length scale separation, allows dispersion relations be obtained analyzing a single unit cell subjected Floquet–Bloch boundary conditions. finite macroscopic deformation applied affect its geometry and hence dispersion. We tune dispersion–deformation relation our liking solving topology problem using nonlinear programming. The...
Simultaneous shape and topology optimization is used to design pressure-activated inflatable soft robots. The pressure loaded boundary meshed conformingly optimized, while the morphology of robot optimized. objective exert maximum force on an object, i.e. produce "grippers". robot's motion modeled using nearly incompressible finite deformation hyperelasticity. To ensure stability robot, buckling load factors obtained via linearized analyses are constrained. element method evaluate cost...
Abstract The inclusion of non‐linear elastic analyses into the topology optimization problem is necessary to capture finite deformation response, e.g. geometric response compliant mechanisms. In previous work, computed by standard element analysis. Here, we incorporate a load–displacement constraint method traverse equilibrium paths with limit points design structures that exhibit snap‐through behaviour. To accomplish this, modify basic arc length algorithm and embed this analysis problem....
Abstract We present a new method for shape optimization that uses an analytical description of the varying design geometry as control in problem. A straightforward filtering technique projects onto fictitious analysis domain to support simplified response and sensitivity analysis. However, model is referenced directly all purely geometric calculations. The thus combines advantages direct representations with procedures are possible methods, such material distribution methods commonly used...
Summary Topology optimization is a methodology for assigning material or void to each point in design domain way that extremizes some objective function, such as the compliance of structure under given loads, subject various imposed constraints, an upper bound on mass structure. Geometry projection means parameterize topology problem, by describing independent mesh used analysis design's performance; it results many fewer parameters, necessarily resolves ill‐posed nature and provides sharp...