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Pentamode materials are elastic solids with vanishing shear modulus, and canbe used cloak underwater sound with solid state and broadband merits. However,pentamode materials realized with real microstructure have inevitable smallshear modulus. This paper systematically studies the impact of shear rigidityand inner surface constraints on acoustic cloak with unideal pentamodematerial. The shear rigidity introduces a new kind of resonance in the radialdirection, which is different from the traditional whispering-gallery resonancealong the circumference. Totally fixed, radially fixed or free boundaries onthe cloak inner surface are found to show significant difference on thecloaking function. To realize a broadband cloak with suitable boundary forpractice, we propose to attach an elastic thin shell on the inner surface tovirtually tune the boundary constraint. The proposed strategy is also validatedwith microstructure cloak simulation. This study will provide valuable guidancefor the practical applications of pentamode acoustic cloak.

Boundary effect on acoustic cloak with unideal pentamode material