Plastic deformation modeling for membrane loading optimization
A mechanical engineering model to understand and optimize the deformation of membranes under loading, reducing packaging costs and testing needs. The model incorporates local stress and strain calculations for improved support design, validated by scaled-down prototypes.
Overview
This project offers a mechanical engineering model designed to understand and optimize the deformation of membranes under loading. By calculating local stress and strain, the model aims to identify permanent deformations and determine the necessary stiffness and dimensions of supportive elements like foam layers or brace plates. This approach could significantly reduce packaging costs and the need for extensive large-scale testing. The model is adaptable, allowing for future scalability as load sizes or dimensions change, thus future-proofing the solution.
Technical specifications
The model considers distributed loads and identifies stress concentrations and transformations, extending standard textbook derivations for bending and normal stress in beams. It involves a coupled problem-solving approach where the deformation of a soft layer affects normal stress distribution. Numerical integration is used to determine stress distribution along the contact surface. The methodology includes mechanical testing for further stress concentration effects and incorporates a safety factor measured on prototypes. An Instron materials tester will measure moduli and plastic deformation limits, including fatigue under long loading times.
Technology readiness level
The model has reached Technology Readiness Level 6, indicating that it has been tested in relevant environments with scaled-down prototypes. Future validation includes extending modeling techniques and consulting with engineering teams to ensure compatibility with existing systems.
About Eric Brown Labs, LLC
Eric Brown Labs, LLC is an independent research organization operated by physicist Eric Brown. Established as a non-profit entity following Brown's tenure as a professor at Yale University, the laboratory focuses on conducting scientific research for the public good, with an emphasis on advancing knowledge in physics and materials science. The laboratory operates outside the traditional university model, seeking funding from government research agencies while prioritizing educational and research activities over profit. Brown’s work spans various areas of condensed matter physics and fluid dynamics, including studies on granular materials, shear thickening fluids, and magnetic liquid metal suspensions intended for laboratory-scale dynamo experiments.
Beyond its core research initiatives, the laboratory provides access to specialized materials testing equipment for shared use or consulting engagements. This includes a high-speed camera, a rheometer for measuring non-Newtonian fluid properties, and a dynamic materials tester for stress-strain analysis. By offering these facilities and expertise in data analysis and modeling, the laboratory supports collaborative projects and industrial applications. Past research contributions include the development of a universal robotic gripper using jammable granular materials, a project conducted in collaboration with iRobot Corporation and academic partners to simplify robotic grasping systems.
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