Results 21 to 30 of about 20,616 (262)
Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation
Journal of Nonlinear Science, 2023 AbstractIn this paper, we formulate the theory of nonlinear elasticity in a geometrically intrinsic manner using exterior calculus and bundle-valued differential forms. We represent kinematics variables, such as velocity and rate of strain, as intensive vector-valued forms, while kinetics variables, such as stress and momentum, as extensive covector ...
Ramy Rashad +4 more
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DeepGreen: deep learning of Green’s functions for nonlinear boundary value problems
Scientific Reports, 2021 Boundary value problems (BVPs) play a central role in the mathematical analysis of constrained physical systems subjected to external forces. Consequently, BVPs frequently emerge in nearly every engineering discipline and span problem domains including ...
Craig R. Gin +3 more
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Numerical analysis of large deformation by finite element method [PDF]
Инженерно-строительный журнал, 2013 In this paper a method of numerical studies of elastic-plastic bodies with finite deformations is considered. Constitutive relations obtained using the elastic potential in the flow theory.
L.U. Sultanov, R.L. Davydov
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Archive for Rational Mechanics and AnalysisAbstract Most theories and applications of elasticity rely on an energy function that depends on the strains from which the stresses can be derived. This is the traditional setting of Green elasticity, also known as hyper-elasticity. However, in its original form the theory of elasticity does not assume the existence of a strain energy ...
Arash Yavari, Alain Goriely
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On nonlinear thermo-electro-elasticity [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2016 Electro-active polymers (EAPs) for large actuations are nowadays well-known and promising candidates for producing sensors, actuators and generators. In general, polymeric materials are sensitive to differential temperature histories. During experimental characterizations of EAPs under electro-mechanically coupled loads, it is difficult to maintain ...
Markus Mehnert +2 more
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Journal of Functional Biomaterials, 2023 Heart failure is the leading cause of death in the US and worldwide. Despite modern therapy, challenges remain to rescue the damaged organ that contains cells with a very low proliferation rate after birth.
Somayeh Baghersad +4 more
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Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness [PDF]
Royal Society Open Science, 2018 A specific periodic bar-and-joint framework with limited degrees of freedom is shown to have a transition mechanism when subjected to an external force.
H. Tanaka, K. Hamada, Y. Shibutani
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Nonlinear Vibration Analysis of FG Nano-Beams in Thermal Environment and Resting on Nonlinear Foundation based on Nonlocal and Strain-Inertia Gradient Theory [PDF]
International Journal of Advanced Design and Manufacturing Technology, 2018 In present research, nonlinear vibration of functionally graded nano-beams subjected to uniform temperature rise and resting on nonlinear foundation is comprehensively studied.
Ebrahim Mahmoudpour
doaj
Advanced Engineering Materials, EarlyView.This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal +2 more
wiley +1 more source
Estimation of natural frequencies of pure bending vibrations of composite nonlinearly elastic beams and circular plates [PDF]
Компьютерные исследования и моделирование, 2017 In the paper, it is represented a linearization method for the stress-strain curves of nonlinearly deformable beams and circular plates in order to generalize the pure bending vibration equations.
Ivan Alexandrovich Tarasyuk +1 more
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