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A New Nonlocal Temperature-Dependent Model for Adhesive Contact

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Mathematical Modeling in Cultural Heritage

Part of the book series: Springer INdAM Series ((SINDAMS,volume 41))

Abstract

The aim of this note is twofold. First of all, we propose a very partial survey on the mathematical modeling and analysis of adhesive contact and delamination. Secondly, we advance a new model for adhesive contact with thermal effects that includes nonlocal adhesive forces and surface damage effects, as well as nonlocal heat flux contributions on the contact surface. In the derivation of the model, we follow the approach by M. Frémond applying it to nonlocal adhesive contact.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica “F. Enriques”, Università di Milano, Milano, Italy

    Elena Bonetti

  2. Sezione di Matematica, DICATAM, Università di Brescia, Brescia, Italy

    Giovanna Bonfanti

  3. DIMI, Università di Brescia, Brescia, Italy

    Riccarda Rossi

Authors
  1. Elena Bonetti
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  2. Giovanna Bonfanti
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  3. Riccarda Rossi
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Corresponding author

Correspondence to Elena Bonetti .

Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Milano, Milano, Italy

    Elena Bonetti

  2. Dipartimento di Matematica, Università degli Studi di Milano, Milano, Italy

    Cecilia Cavaterra

  3. Istituto per le Applicazioni del Calcolo, Consiglio Nazionale delle Ricerche, Roma, Italy

    Roberto Natalini

  4. Dipartimento di Architettura, Università di Sassari, Alghero, Italy

    Margherita Solci

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Bonetti, E., Bonfanti, G., Rossi, R. (2021). A New Nonlocal Temperature-Dependent Model for Adhesive Contact. In: Bonetti, E., Cavaterra, C., Natalini, R., Solci, M. (eds) Mathematical Modeling in Cultural Heritage. Springer INdAM Series, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-030-58077-3_3

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