Results 21 to 30 of about 26,717 (308)
Anisotropic nonlinear shear elasticity quantification in ex vivo muscles
, 2022 International audienceTo improve muscle pathology diagnosis or muscle characterization, nonlinear (NL) elasticity assessment could be an essential add-on to better characterize mechanical properties of soft tissues. In ultrasound shear wave elastography,
Bahlouli, N +13 more
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An approach to nonlinear viscoelasticity via metric gradient flows [PDF]
, 2013 We formulate quasistatic nonlinear finite-strain viscoelasticity of rate type as a gradient system. Our focus is on nonlinear dissipation functionals and distances that are related to metrics on weak diffeomorphisms and that ensure time-dependent frame ...
Mielke, A. +4 more
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Nonlinear flexure mechanics of beams: stress gradient and nonlocal integral theory
Materials Research Express, 2021 In order to study the intrinsic size-effects, the stress gradient theory is implemented to a nano-scale beam model in nonlinear flexure. The nonlocal integral elasticity model is considered as a suitable counterpart to examine the softening behavior of ...
Mahdad Fazlali +2 more
doaj +1 more source
Some Remarks on the Weakly Nonlinear Theory of Isotropic Elasticity
, 2021 Third- and fourth-order weakly nonlinear theories of elasticity are widely used by applied mathematicians, physicists and acousticians. Although their introduction is traced back to a paper by Signorini dated 1930, some aspects related to the rigorous ...
Vergori L., Saccomandi G.
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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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A nonlinear gradient elasticity model for the prediction of seismic waves
, 2022 We present a novel equation of motion for a nonlinear gradient elasticity model. Thereby, higher-order gradient terms are introduced to capture the effect of small-scale soil heterogeneity/micro-structure.
Dostal, Leo +4 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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