Identifying Elastic and Viscoelastic Material Parameters by Means of a Tikhonov Regularization
المؤلفون المشاركون
Diebels, Stefan
Scheffer, Tobias
Wewior, Aaron
Schuster, Thomas
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-11، 11ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-02-18
دولة النشر
مصر
عدد الصفحات
11
التخصصات الرئيسية
الملخص EN
For studying the interaction of displacements, stresses, and acting forces for elastic and viscoelastic materials, it is of utmost importance to have a decent mathematical model available.
Usually such a model consists of a coupled set of nonlinear differential equations together with appropriate boundary conditions.
However, since the different material classes vary significantly with respect to their physical and mechanical behavior, the parameters which appear in these equations are unknown and therefore have to be determined before the equations can be used for further investigations or simulations.
It is this very step which is addressed in this article where we consider elastic as well as viscoelastic material behavior.
The idea is to compute the parameters as solutions of a minimization problem for Tikhonov functionals.
Tikhonov regularization is a well-established solution technique for tackling inverse problems.
On the one hand, it assures a computation that is stable with respect to noisy input data, and on the other hand, it involves desired a priori information on the solution.
In this article we develop problem adapted Tikhonov functionals and prove that a Tikhonov regularization improves the accuracy especially when the underlying system is ill-conditioned.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Diebels, Stefan& Scheffer, Tobias& Schuster, Thomas& Wewior, Aaron. 2018. Identifying Elastic and Viscoelastic Material Parameters by Means of a Tikhonov Regularization. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1205907
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Diebels, Stefan…[et al.]. Identifying Elastic and Viscoelastic Material Parameters by Means of a Tikhonov Regularization. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1205907
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Diebels, Stefan& Scheffer, Tobias& Schuster, Thomas& Wewior, Aaron. Identifying Elastic and Viscoelastic Material Parameters by Means of a Tikhonov Regularization. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1205907
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1205907
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