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<p>We study the existence and regularity of minimizers of an energy functional which in the physical 3D dimension corresponds to the so–called generalized Varga materials and includes an additional term accounting for surface tension. Due to the linear growth of the strain energy, we relax the problem in a suitable class of extended graphs of radially symmetric functions of bounded variations. Besides cavitation at the origin, a new phenomenon due to the occurrence of a spherical fracture inside the body is observed.</p>

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On Generalized Varga Materials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月1日

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  • Pietro Celada,
  • Domenico Mucci

摘要

We study the existence and regularity of minimizers of an energy functional which in the physical 3D dimension corresponds to the so–called generalized Varga materials and includes an additional term accounting for surface tension. Due to the linear growth of the strain energy, we relax the problem in a suitable class of extended graphs of radially symmetric functions of bounded variations. Besides cavitation at the origin, a new phenomenon due to the occurrence of a spherical fracture inside the body is observed.