Work

A Family of Higher‐Order Theories for Wave Propagation in One‐Dimensional Structural Elements

Year: 2025

Type: article

Abstract: ABSTRACT This paper proposes a systematic framework for the development and classification of higher‐order theories for modeling wave propagation in one‐dimensional structural elements. Building upon and organizing the existing higher‐order models, a generalized approach is introduced to construct an entire family of such theories with controllable complexity and accuracy. The methodology enables the inclusion of higher‐order terms in a physically meaningful and mathematically consistent manner, going beyond the classical polynomial extension of displacement fields. The proposed theories leverage traction‐free boundary conditions, leading to accurate wave representation. Preliminary considerations on their implementation in the finite element method are also discussed, laying the foundation for future work focused on advanced finite element formulations.

Source: International Journal for Numerical Methods in Engineering

DOI: 10.1002/nme.70136

Authors: Wiktor Waszkowiak, Łukasz Doliński, Paweł Kowalski, Arkadiusz Żak

Institution: Gdańsk University of Technology

Language: English

Topic: Elasticity and Wave Propagation

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,250

Funder: Politechnika Gdańska