Tensile strength, also known as ultimate strength, is the capacity of a material to resist tensile loads without fracture. Experiments are performed to determine tensile strength of a material.
Yielding or plastic deformation begins when stress in a material exceeds its "yield stress" which is different from tensile strength. The yield stress is smaller than the tensile strength (though it may be close for brittle materials which do not undergo significant plastic deformation before fracture). When stress in material exceeds yield stress, it deforms plastically but it won't fracture yet. When the stress increases further and exceeds the tensile strength, then fracture will occur i.e. a crack might propagate and the material will break into two or more parts.
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To learn more about such mechanical properties, have a look into the Learn resource of the Ansys Granta EduPack software:
http://support.grantadesign.com/resources/grantaedupack/2021R1/learn/