Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters
V Průša, KR Rajagopal… - … and Mechanics of Solids, 2022 - journals.sagepub.com
We investigate the pure bending of an elastic prismatic beam, but unlike in the classical
setting we assume that the material parameters are density-dependent. The corresponding …
setting we assume that the material parameters are density-dependent. The corresponding …
Consistent Euler–Bernoulli beam theories in statics for classical and explicit gradient elasticities
SA Sideris, C Tsakmakis - Composite Structures, 2022 - Elsevier
Abstract The Euler–Bernoulli beam bending theory in elementary (engineering) mechanics
uses two fundamental assumptions, first that the material behaviour is isotropic elastic and …
uses two fundamental assumptions, first that the material behaviour is isotropic elastic and …
An Analytical Model for Nonlinear-Elastic Compliant Mechanisms With Tension–Compression Asymmetry
B Hargrove, M Frecker… - Journal of …, 2024 - asmedigitalcollection.asme.org
While nonlinear-elastic materials demonstrate potential in enhancing the performance of
compliant mechanisms, their behavior still needs to be captured in a generalized …
compliant mechanisms, their behavior still needs to be captured in a generalized …
Asymptotic beam theory for non-classical elastic materials
D Gu, C Fu, HH Dai, KR Rajagopal - International Journal of Mechanical …, 2021 - Elsevier
This paper is devoted to the study of the plane-stress deformation of a beam composed of
non-classical elastic materials that are suitable for modeling certain inter-metallic alloys with …
non-classical elastic materials that are suitable for modeling certain inter-metallic alloys with …
Influence of floor system on seismic behavior of RC buildings to forward directivity and fling-step in the near-fault region
The pernicious effect of far-fault and near-fault earthquake records on the seismic behavior
of concrete structures has been studied widely. In addition, several research works have …
of concrete structures has been studied widely. In addition, several research works have …
Buckling of an elastic layer based on implicit constitution: Incremental theory and numerical framework
D Gu, HH Dai, F Xu - International Journal of Engineering Science, 2021 - Elsevier
A general class of implicit bodies was proposed to describe elastic response of solids, which
contains the Cauchy–Green tensor as a function of Cauchy stress. Here, we consider the …
contains the Cauchy–Green tensor as a function of Cauchy stress. Here, we consider the …
Equivalent Formulations of Euler–Bernoulli Beam Theory for a Simple Gradient Elasticity Law
C Bröse, SA Sideris, C Tsakmakis… - Journal of Engineering …, 2023 - ascelibrary.org
Abstract Existing Euler-Bernoulli beam theories in classical elastostatics suffer from the
inconsistency that either the elasticity law or the equilibrium equations are not satisfied in …
inconsistency that either the elasticity law or the equilibrium equations are not satisfied in …
Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain
C Broese, C Tsakmakis… - … and Mechanics of Solids, 2024 - journals.sagepub.com
The Euler–Bernoulli beam bending theory in engineering mechanics assumes that the
material behavior is isotropic elastic and that plane cross sections remain plane and rigid. It …
material behavior is isotropic elastic and that plane cross sections remain plane and rigid. It …
A beam theory for a new class of constitutive relation for elastic bodies
R Bustamante - Mathematics and Mechanics of Solids, 2023 - journals.sagepub.com
A theory for two-dimensional (2D) beams is presented for the case of considering new
constitutive equations, wherein the linearized (infinitesimal) strain tensor is assumed to be a …
constitutive equations, wherein the linearized (infinitesimal) strain tensor is assumed to be a …
Comparative Study of Beam Theories on the Effect of Span-Depth Ratio for Symmetric and Un-symmetric Loadings
A Gaur, P Dhurvey - IOP Conference Series: Materials Science …, 2020 - iopscience.iop.org
In the present work, a comparative study is done between Shear-indeformable (Euler-
Bernoulli) model and Shear-deformable (Timoshenko) model for two different types of …
Bernoulli) model and Shear-deformable (Timoshenko) model for two different types of …