  Strain manipulation of the magnetic domains, such as the stripe domains and
skyrmions, has attracted considerable attention because of its potential
applications for magnetic logic and memory devices. Here, utilizing phase-field
modeling, we demonstrate the deterministic modulation of the orientation and
the configuration of the stripe domains and skyrmions by using a uniaxial
strain. The reorientation of the stripe domains can be caused by a suitable
strain, and the direction of the reorientated domains is determined by the
direction of the applied uniaxial strain and the type of domain walls,
including Bloch- and N\'eel- types. Furthermore, by constructing a phase
diagram, we discovered that when the uniaxial tensile strain increases, the
ferromagnetic islands undergo a continuous phase transition from a skyrmion to
multi-domains or a single domain. The competition between magnetic anisotropy
energy and stray field energy leads to the continuous phase transition and the
formation of domain patterns under the uniaxial tensile strain. Our research
provides a theoretical foundation for the development of strain-controlled
magnetic domain designs.
