The temperature-sensitivity of a certain class of elastomeric gels (cross-linked elastomers keen to uptake a fluid into their network, shown for example by poly-N-isopropylacrylamide (pNIPAm) hydrogels), is an interesting property allowing a temperature-controlled swelling. Being the elastomer-fluid affinity sensible to the temperature variation, this implies the possibility to control the amount of fluid uptaken by the material by properly changing its temperature. This capability is particularly interesting in biomedical applications or in the development of sensors whose responsiveness is often required to depend on the environmental temperature. Further, the incorporation of photo-thermal particles into the gel enables the use of light for controlling the material response. In this way, smart untethered multi-stimuli sensors or actuators can be obtained.In the present study, we consider the mechanical behavior of temperature-sensitive hydrogels and, relying on a theoretical multiphysics-based model accounting for light diffusion, heat generation and transfer, fluid absorption, and mechanics, the response of morphing elements is studied. Light-induced morphing due to photo-thermal effect is also considered and mathematically modeled. Validation and parametric simulations of the emerging deformations confirm the soundness of the approach and demonstrate the wide range of morphing functionalities obtainable by harnessing the temperature-dependent sensitivity of pNIPAm.