  The ideal strength is crucial for predicting material behavior under extreme
conditions, which can provide insights into material limits, guide design and
engineer for enhanced performance and durability. In this work, we present a
method within an allows for the estimation of tensile, shear, and indentation
strengths in any crystallographic direction or plane. We have examined the
strain-stress relationships of several well-known structures and compared our
findings with previous work, demonstrating the effectiveness of our approach.
Moreover, we performed extensive investigations into the indentation strength
of hexagonal WC, \b{eta}-SiC, and MgA$l_2O_4$. The current study uncovers the
modes of structural deformation and the underlying atomistic mechanisms. The
insights gained from this study have significant implications for the further
exploration and design of superhard materials.
