A composite crucible for growing single crystals comprises an outer crucible of a first material, and an inner liner of a second material having a coefficient of thermal expansion differing from the first material. The outer crucible comprises an inside bore. The inner liner is disposed in the inside bore without diffusion bonding or chemical bonding between the outer crucible and the inner liner. In certain non-limiting embodiments, the first material is one of molybdenum and a molybdenum alloy, and the second material is one of tantalum, niobium, a tantalum alloy, and a niobium alloy.