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Two-Phase Peridynamic Elasticity with Exponential Kernels. II: Bending, Buckling, and Vibration of Beams
Publisher: American Society of Civil Engineers
Abstract: This paper is devoted to the static and vibration behavior of a two-phase peridynamic (or relative rotation-based integral approaches) Euler–Bernoulli beam with exponential kernels. This two-phase peridynamic beam theory ...
Mechanically Based Nonlocal Euler-Bernoulli Beam Model
Publisher: American Society of Civil Engineers
Abstract: This paper presents a nonlocal Euler-Bernoulli beam model. It is assumed that the equilibrium of a beam segment is attained because of the classical local stress resultants, along with long-range volume forces and moments ...
Fractional-Order Thermal Energy Transport for Small-Scale Engineering Devices
Publisher: American Society of Civil Engineers
Abstract: Fractional-order thermodynamics has proved to be an efficient tool to describe several small-scale and/or high-frequency thermodynamic processes, as shown in many engineering and physics applications. The main idea beyond ...
Finite-Element Formulation of a Nonlocal Hereditary Fractional-Order Timoshenko Beam
Publisher: American Society of Civil Engineers
Abstract: A mechanically-based nonlocal Timoshenko beam model, recently proposed by the authors, hinges on the assumption that nonlocal effects can be modeled as elastic long-range volume forces and moments mutually exerted by ...
Finite-Element Formulation of a Nonlocal Hereditary Fractional-Order Timoshenko Beam
Publisher: American Society of Civil Engineers
Abstract: A mechanically-based nonlocal Timoshenko beam model, recently proposed by the authors, hinges on the assumption that nonlocal effects can be modeled as elastic long-range volume forces and moments mutually exerted by ...
Two-Phase Peridynamic Elasticity with Exponential Kernels. I: Statics and Vibrations of Axial Rods
Publisher: American Society of Civil Engineers
Abstract: This paper explores the static and vibration behavior of a two-phase peridynamic rod (or relative displacement-based integral rod model) with exponential kernels. The two-phase peridynamic theory combines a local and a ...
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