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Tensors

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Mechanics of Soft Materials
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Abstract

In this chapter we introduce the concept of tensors which are the language of mechanics. Books are written on this topic and a newcomer might be interested in consulting the literature in advance. Nevertheless, all information about tensors necessary for understanding this book is collected bellow. We were not generous in choosing the information and we avoided any storage of results from tensor analysis which were not directly applicable to the problems considered in the present book.

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Notes

  1. 1.

    We use the blackboard letter \(\mathbb {C}\) for the symbolic notation of the fourth-order tensor.

References

  • Itskov M (2013) Tensor algebra and tensor analysis for engineers. Springer, Berlin

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  • Lur’e AI (1990) Nonlinear theory of elasticity. North Holland, Amsterdam

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  • Malvern LE (1969) Introduction to the mechanics of a continuous medium. Prentice-Hall, Englewood Cliffs

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Correspondence to Konstantin Volokh .

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© 2019 Springer Nature Singapore Pte Ltd.

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Volokh, K. (2019). Tensors. In: Mechanics of Soft Materials. Springer, Singapore. https://doi.org/10.1007/978-981-13-8371-7_1

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  • DOI: https://doi.org/10.1007/978-981-13-8371-7_1

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-8370-0

  • Online ISBN: 978-981-13-8371-7

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