Three-point bending tests-Part I: Mathematical study and asymptotic analysis

DOI10.1002/mma.1434zbMath1432.74116OpenAlexW1965571663MaRDI QIDQ3011579

María Teresa Sánchez, P. Quintela-Estevez

Publication date: 29 June 2011

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1434

zbMATH Keywords

asymptotic analysiscontact conditionsmodulus of rupture

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Contact in solid mechanics (74M15) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Cites Work

• Closed-form solutions of Euler-Bernoulli beams with singularities
• Three-point bending tests. Part II: An improved formula for the modulus of rupture and numerical simulations
• A justification of the one‐dimensional linear model of elastic beam
• Existence of a solution for a Signorini contact problem for Maxwell-Norton materials
• Variational inequalities
• Asymptotic analysis for a mixed boundary value contact problem
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